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L2 Graphing Starters Parabola DrawingParabola Drawing Parabola Drawing SolnParabola Drawing Soln...

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L2 Graphing Starters Parabola Drawing Parabola Drawing Soln Parabola Equations Parabola Equations Soln Cubic Drawing Cubic Drawing Soln Cubic Equations Cubic Equations Soln Hyperbola Drawing Hyperbola Drawing Soln Hyperbola Equations Hyperbola Equations Soln Circles Circles Soln Exponential Drawing Exponential Drawing Soln Exponential Equations Exponential Equations Soln Log Drawing Log Drawing Soln Log Equations Log Equations Solns Graph Intersections Graph Intersections Solns Mixed Drawing Mixed Drawing Soln Mixed Equations Mixed Equations Soln Excellence A Excellence A Soln 1 Excellence B Excellence B Soln 2
Transcript
Page 1: L2 Graphing Starters Parabola DrawingParabola Drawing Parabola Drawing SolnParabola Drawing Soln Parabola EquationsParabola Equations Parabola Equations.

L2 Graphing Starters

Parabola Drawing Parabola Drawing SolnParabola Equations Parabola Equations SolnCubic Drawing Cubic Drawing SolnCubic Equations Cubic Equations SolnHyperbola Drawing Hyperbola Drawing SolnHyperbola Equations Hyperbola Equations SolnCircles Circles SolnExponential Drawing Exponential Drawing SolnExponential Equations Exponential Equations SolnLog Drawing Log Drawing SolnLog Equations Log Equations SolnsGraph Intersections Graph Intersections SolnsMixed Drawing Mixed Drawing SolnMixed Equations Mixed Equations SolnExcellence A Excellence A Soln 1Excellence B Excellence B Soln 2

Page 2: L2 Graphing Starters Parabola DrawingParabola Drawing Parabola Drawing SolnParabola Drawing Soln Parabola EquationsParabola Equations Parabola Equations.

Parabola Drawing

32 2 xy

422 2 xy

5243 2 xy

4121 2 xy

y

x

1

1

2

2

3

3

4

4

– 1

– 1

– 2

– 2

– 3

– 3

– 4

– 4

1

1

2

2

3

3

4

4

5

5

6

6

– 1

– 1

– 2

– 2

– 3

– 3

– 4

– 4

– 5

– 5

– 6

– 6

y

x

1

1

2

2

3

3

4

4

– 1

– 1

– 2

– 2

– 3

– 3

– 4

– 4

1

1

2

2

3

3

4

4

5

5

6

6

– 1

– 1

– 2

– 2

– 3

– 3

– 4

– 4

– 5

– 5

– 6

– 6

Draw these graphs

1st Slide

Page 3: L2 Graphing Starters Parabola DrawingParabola Drawing Parabola Drawing SolnParabola Drawing Soln Parabola EquationsParabola Equations Parabola Equations.

Parabola Drawing Soln

y

x

1

1

2

2

3

3

4

4

– 1

– 1

– 2

– 2

– 3

– 3

– 4

– 4

1

1

2

2

3

3

4

4

5

5

6

6

– 1

– 1

– 2

– 2

– 3

– 3

– 4

– 4

– 5

– 5

– 6

– 6

y

x

1

1

2

2

3

3

4

4

– 1

– 1

– 2

– 2

– 3

– 3

– 4

– 4

1

1

2

2

3

3

4

4

5

5

6

6

– 1

– 1

– 2

– 2

– 3

– 3

– 4

– 4

– 5

– 5

– 6

– 6

32 2 xy

422 2 xy

5243 2 xy

4121 2 xy

1st Slide

Page 4: L2 Graphing Starters Parabola DrawingParabola Drawing Parabola Drawing SolnParabola Drawing Soln Parabola EquationsParabola Equations Parabola Equations.

Parabola Equations

y

x

1

1

2

2

3

3

4

4

– 1

– 1

– 2

– 2

– 3

– 3

– 4

– 4

1

1

2

2

3

3

4

4

5

5

6

6

– 1

– 1

– 2

– 2

– 3

– 3

– 4

– 4

– 5

– 5

– 6

– 6

y

x

1

1

2

2

3

3

4

4

– 1

– 1

– 2

– 2

– 3

– 3

– 4

– 4

1

1

2

2

3

3

4

4

5

5

6

6

– 1

– 1

– 2

– 2

– 3

– 3

– 4

– 4

– 5

– 5

– 6

– 6

Write the equations for these graphs

1st Slide

Page 5: L2 Graphing Starters Parabola DrawingParabola Drawing Parabola Drawing SolnParabola Drawing Soln Parabola EquationsParabola Equations Parabola Equations.

Parabola Equations Soln

y

x

1

1

2

2

3

3

4

4

– 1

– 1

– 2

– 2

– 3

– 3

– 4

– 4

1

1

2

2

3

3

4

4

5

5

6

6

– 1

– 1

– 2

– 2

– 3

– 3

– 4

– 4

– 5

– 5

– 6

– 6

3221

xxy

y

x

1

1

2

2

3

3

4

4

– 1

– 1

– 2

– 2

– 3

– 3

– 4

– 4

1

1

2

2

3

3

4

4

5

5

6

6

– 1

– 1

– 2

– 2

– 3

– 3

– 4

– 4

– 5

– 5

– 6

– 6

1241 2 xy 21 2 xy

423 2 xy

1st Slide

Page 6: L2 Graphing Starters Parabola DrawingParabola Drawing Parabola Drawing SolnParabola Drawing Soln Parabola EquationsParabola Equations Parabola Equations.

Cubic Drawing 1st SlideDraw these graphs

23 xxy

213 xxy

42x2

1y 3

212 xxxyy

x

1

1

2

2

3

3

4

4

– 1

– 1

– 2

– 2

– 3

– 3

– 4

– 4

1

1

2

2

3

3

4

4

5

5

6

6

– 1

– 1

– 2

– 2

– 3

– 3

– 4

– 4

– 5

– 5

– 6

– 6

y

x

1

1

2

2

3

3

4

4

– 1

– 1

– 2

– 2

– 3

– 3

– 4

– 4

1

1

2

2

3

3

4

4

5

5

6

6

– 1

– 1

– 2

– 2

– 3

– 3

– 4

– 4

– 5

– 5

– 6

– 6

Page 7: L2 Graphing Starters Parabola DrawingParabola Drawing Parabola Drawing SolnParabola Drawing Soln Parabola EquationsParabola Equations Parabola Equations.

Cubic Drawing Soln

y

x

1

1

2

2

3

3

4

4

– 1

– 1

– 2

– 2

– 3

– 3

– 4

– 4

1

1

2

2

3

3

4

4

5

5

6

6

– 1

– 1

– 2

– 2

– 3

– 3

– 4

– 4

– 5

– 5

– 6

– 6

y

x

1

1

2

2

3

3

4

4

– 1

– 1

– 2

– 2

– 3

– 3

– 4

– 4

1

1

2

2

3

3

4

4

5

5

6

6

– 1

– 1

– 2

– 2

– 3

– 3

– 4

– 4

– 5

– 5

– 6

– 6

1st SlideDraw these graphs

23 xxy

213 xxy

42x2

1y 3

212 xxxy 21x3xy

Page 8: L2 Graphing Starters Parabola DrawingParabola Drawing Parabola Drawing SolnParabola Drawing Soln Parabola EquationsParabola Equations Parabola Equations.

Cubic Equations 1st Slide

Write the equations for these graphs

y

x

1

1

2

2

3

3

4

4

– 1

– 1

– 2

– 2

– 3

– 3

– 4

– 4

1

1

2

2

3

3

4

4

5

5

6

6

– 1

– 1

– 2

– 2

– 3

– 3

– 4

– 4

– 5

– 5

– 6

– 6

y

x

1

1

2

2

3

3

4

4

– 1

– 1

– 2

– 2

– 3

– 3

– 4

– 4

1

1

2

2

3

3

4

4

5

5

6

6

– 1

– 1

– 2

– 2

– 3

– 3

– 4

– 4

– 5

– 5

– 6

– 6

Page 9: L2 Graphing Starters Parabola DrawingParabola Drawing Parabola Drawing SolnParabola Drawing Soln Parabola EquationsParabola Equations Parabola Equations.

Cubic Equations Soln 1st Slide

Write the equations for these graphs

y

x

1

1

2

2

3

3

4

4

– 1

– 1

– 2

– 2

– 3

– 3

– 4

– 4

1

1

2

2

3

3

4

4

5

5

6

6

– 1

– 1

– 2

– 2

– 3

– 3

– 4

– 4

– 5

– 5

– 6

– 6

y

x

1

1

2

2

3

3

4

4

– 1

– 1

– 2

– 2

– 3

– 3

– 4

– 4

1

1

2

2

3

3

4

4

5

5

6

6

– 1

– 1

– 2

– 2

– 3

– 3

– 4

– 4

– 5

– 5

– 6

– 6

21421

xxy

22 xxy

213 xxy

1221 3 xy

Page 10: L2 Graphing Starters Parabola DrawingParabola Drawing Parabola Drawing SolnParabola Drawing Soln Parabola EquationsParabola Equations Parabola Equations.

Hyperbola DrawingDraw these graphs

1st Slide

24

x

y1x

2y

y

x

1

1

2

2

3

3

4

4

– 1

– 1

– 2

– 2

– 3

– 3

– 4

– 4

1

1

2

2

3

3

4

4

5

5

6

6

– 1

– 1

– 2

– 2

– 3

– 3

– 4

– 4

– 5

– 5

– 6

– 6

y

x

1

1

2

2

3

3

4

4

– 1

– 1

– 2

– 2

– 3

– 3

– 4

– 4

1

1

2

2

3

3

4

4

5

5

6

6

– 1

– 1

– 2

– 2

– 3

– 3

– 4

– 4

– 5

– 5

– 6

– 6

Page 11: L2 Graphing Starters Parabola DrawingParabola Drawing Parabola Drawing SolnParabola Drawing Soln Parabola EquationsParabola Equations Parabola Equations.

Hyperbola Drawing Soln

y

x

1

1

2

2

3

3

4

4

– 1

– 1

– 2

– 2

– 3

– 3

– 4

– 4

1

1

2

2

3

3

4

4

5

5

6

6

– 1

– 1

– 2

– 2

– 3

– 3

– 4

– 4

– 5

– 5

– 6

– 6

y

x

1

1

2

2

3

3

4

4

– 1

– 1

– 2

– 2

– 3

– 3

– 4

– 4

1

1

2

2

3

3

4

4

5

5

6

6

– 1

– 1

– 2

– 2

– 3

– 3

– 4

– 4

– 5

– 5

– 6

– 6

1st Slide

24

x

y1x

2y

Page 12: L2 Graphing Starters Parabola DrawingParabola Drawing Parabola Drawing SolnParabola Drawing Soln Parabola EquationsParabola Equations Parabola Equations.

Hyperbola Equations 1st Slide

Write the equations for these graphs

y

x

1

1

2

2

3

3

4

4

– 1

– 1

– 2

– 2

– 3

– 3

– 4

– 4

1

1

2

2

3

3

4

4

5

5

6

6

– 1

– 1

– 2

– 2

– 3

– 3

– 4

– 4

– 5

– 5

– 6

– 6

y

x

1

1

2

2

3

3

4

4

– 1

– 1

– 2

– 2

– 3

– 3

– 4

– 4

1

1

2

2

3

3

4

4

5

5

6

6

– 1

– 1

– 2

– 2

– 3

– 3

– 4

– 4

– 5

– 5

– 6

– 6

Page 13: L2 Graphing Starters Parabola DrawingParabola Drawing Parabola Drawing SolnParabola Drawing Soln Parabola EquationsParabola Equations Parabola Equations.

Hyperbola Equations Soln 1st Slide

Write the equations for these graphs

32

3

x

y21

3

x

y

y

x

1

1

2

2

3

3

4

4

– 1

– 1

– 2

– 2

– 3

– 3

– 4

– 4

1

1

2

2

3

3

4

4

5

5

6

6

– 1

– 1

– 2

– 2

– 3

– 3

– 4

– 4

– 5

– 5

– 6

– 6

y

x

1

1

2

2

3

3

4

4

– 1

– 1

– 2

– 2

– 3

– 3

– 4

– 4

1

1

2

2

3

3

4

4

5

5

6

6

– 1

– 1

– 2

– 2

– 3

– 3

– 4

– 4

– 5

– 5

– 6

– 6

Page 14: L2 Graphing Starters Parabola DrawingParabola Drawing Parabola Drawing SolnParabola Drawing Soln Parabola EquationsParabola Equations Parabola Equations.

Circles 1st SlideDraw these graphs

y

x

1

1

2

2

3

3

4

4

5

5

6

6

– 1

– 1

– 2

– 2

– 3

– 3

– 4

– 4

– 5

– 5

– 6

– 6

1

1

2

2

3

3

4

4

5

5

6

6

– 1

– 1

– 2

– 2

– 3

– 3

– 4

– 4

– 5

– 5

– 6

– 6

43 22 yx

92 22 yx Write the equations for these graphs

y

x

1

1

2

2

3

3

4

4

5

5

6

6

– 1

– 1

– 2

– 2

– 3

– 3

– 4

– 4

– 5

– 5

– 6

– 6

1

1

2

2

3

3

4

4

5

5

6

6

– 1

– 1

– 2

– 2

– 3

– 3

– 4

– 4

– 5

– 5

– 6

– 6

Page 15: L2 Graphing Starters Parabola DrawingParabola Drawing Parabola Drawing SolnParabola Drawing Soln Parabola EquationsParabola Equations Parabola Equations.

Circles Soln 1st SlideDraw these graphs

y

x

1

1

2

2

3

3

4

4

5

5

6

6

– 1

– 1

– 2

– 2

– 3

– 3

– 4

– 4

– 5

– 5

– 6

– 6

1

1

2

2

3

3

4

4

5

5

6

6

– 1

– 1

– 2

– 2

– 3

– 3

– 4

– 4

– 5

– 5

– 6

– 6

y

x

1

1

2

2

3

3

4

4

5

5

6

6

– 1

– 1

– 2

– 2

– 3

– 3

– 4

– 4

– 5

– 5

– 6

– 6

1

1

2

2

3

3

4

4

5

5

6

6

– 1

– 1

– 2

– 2

– 3

– 3

– 4

– 4

– 5

– 5

– 6

– 6

2512 22 yx

532 22 yx

43 22 yx

92 22 yx

Page 16: L2 Graphing Starters Parabola DrawingParabola Drawing Parabola Drawing SolnParabola Drawing Soln Parabola EquationsParabola Equations Parabola Equations.

Exponential Drawing 1st SlideDraw these graphs

23 xy

xy 22

423 xy

12 xyy

x

1

1

2

2

3

3

4

4

– 1

– 1

– 2

– 2

– 3

– 3

– 4

– 4

1

1

2

2

3

3

4

4

5

5

6

6

– 1

– 1

– 2

– 2

– 3

– 3

– 4

– 4

– 5

– 5

– 6

– 6

y

x

1

1

2

2

3

3

4

4

– 1

– 1

– 2

– 2

– 3

– 3

– 4

– 4

1

1

2

2

3

3

4

4

5

5

6

6

– 1

– 1

– 2

– 2

– 3

– 3

– 4

– 4

– 5

– 5

– 6

– 6

Page 17: L2 Graphing Starters Parabola DrawingParabola Drawing Parabola Drawing SolnParabola Drawing Soln Parabola EquationsParabola Equations Parabola Equations.

Exponential Drawing Soln 1st Slide

23 xy

xy 22

423 xy

12 xy

y

x

1

1

2

2

3

3

4

4

– 1

– 1

– 2

– 2

– 3

– 3

– 4

– 4

1

1

2

2

3

3

4

4

5

5

6

6

– 1

– 1

– 2

– 2

– 3

– 3

– 4

– 4

– 5

– 5

– 6

– 6

y

x

1

1

2

2

3

3

4

4

– 1

– 1

– 2

– 2

– 3

– 3

– 4

– 4

1

1

2

2

3

3

4

4

5

5

6

6

– 1

– 1

– 2

– 2

– 3

– 3

– 4

– 4

– 5

– 5

– 6

– 6

x22

1y

Page 18: L2 Graphing Starters Parabola DrawingParabola Drawing Parabola Drawing SolnParabola Drawing Soln Parabola EquationsParabola Equations Parabola Equations.

Exponential EquationsWrite the equations for these graphs

1st Slide

y

x

1

1

2

2

3

3

4

4

– 1

– 1

– 2

– 2

– 3

– 3

– 4

– 4

1

1

2

2

3

3

4

4

5

5

6

6

– 1

– 1

– 2

– 2

– 3

– 3

– 4

– 4

– 5

– 5

– 6

– 6

y

x

1

1

2

2

3

3

4

4

– 1

– 1

– 2

– 2

– 3

– 3

– 4

– 4

1

1

2

2

3

3

4

4

5

5

6

6

– 1

– 1

– 2

– 2

– 3

– 3

– 4

– 4

– 5

– 5

– 6

– 6

Page 19: L2 Graphing Starters Parabola DrawingParabola Drawing Parabola Drawing SolnParabola Drawing Soln Parabola EquationsParabola Equations Parabola Equations.

Exponential Equations SolnWrite the equations for these graphs

1st Slide

54 2 xy

123 xy

250 x.y22 xy

132 xy

y

x

1

1

2

2

3

3

4

4

– 1

– 1

– 2

– 2

– 3

– 3

– 4

– 4

1

1

2

2

3

3

4

4

5

5

6

6

– 1

– 1

– 2

– 2

– 3

– 3

– 4

– 4

– 5

– 5

– 6

– 6

y

x

1

1

2

2

3

3

4

4

– 1

– 1

– 2

– 2

– 3

– 3

– 4

– 4

1

1

2

2

3

3

4

4

5

5

6

6

– 1

– 1

– 2

– 2

– 3

– 3

– 4

– 4

– 5

– 5

– 6

– 6

x25.1y

Page 20: L2 Graphing Starters Parabola DrawingParabola Drawing Parabola Drawing SolnParabola Drawing Soln Parabola EquationsParabola Equations Parabola Equations.

Log DrawingDraw these graphs

1st Slide

32 xLogy

xLogy 4 2xLogy 2

1xLogy 3 y

x

1

1

2

2

3

3

4

4

– 1

– 1

– 2

– 2

– 3

– 3

– 4

– 4

1

1

2

2

3

3

4

4

5

5

6

6

– 1

– 1

– 2

– 2

– 3

– 3

– 4

– 4

– 5

– 5

– 6

– 6

y

x

1

1

2

2

3

3

4

4

– 1

– 1

– 2

– 2

– 3

– 3

– 4

– 4

1

1

2

2

3

3

4

4

5

5

6

6

– 1

– 1

– 2

– 2

– 3

– 3

– 4

– 4

– 5

– 5

– 6

– 6

Page 21: L2 Graphing Starters Parabola DrawingParabola Drawing Parabola Drawing SolnParabola Drawing Soln Parabola EquationsParabola Equations Parabola Equations.

Log Drawing SolnDraw these graphs

1st Slide

y

x

1

1

2

2

3

3

4

4

– 1

– 1

– 2

– 2

– 3

– 3

– 4

– 4

1

1

2

2

3

3

4

4

5

5

6

6

– 1

– 1

– 2

– 2

– 3

– 3

– 4

– 4

– 5

– 5

– 6

– 6

3xLogy 2

xLogy 4

1xLogy 3

2xLogy 2

y

x

1

1

2

2

3

3

4

4

– 1

– 1

– 2

– 2

– 3

– 3

– 4

– 4

1

1

2

2

3

3

4

4

5

5

6

6

– 1

– 1

– 2

– 2

– 3

– 3

– 4

– 4

– 5

– 5

– 6

– 6

Page 22: L2 Graphing Starters Parabola DrawingParabola Drawing Parabola Drawing SolnParabola Drawing Soln Parabola EquationsParabola Equations Parabola Equations.

Log EquationsWrite the equations for these graphs

1st Slide

y

x

1

1

2

2

3

3

4

4

– 1

– 1

– 2

– 2

– 3

– 3

– 4

– 4

1

1

2

2

3

3

4

4

5

5

6

6

– 1

– 1

– 2

– 2

– 3

– 3

– 4

– 4

– 5

– 5

– 6

– 6

y

x

1

1

2

2

3

3

4

4

– 1

– 1

– 2

– 2

– 3

– 3

– 4

– 4

1

1

2

2

3

3

4

4

5

5

6

6

– 1

– 1

– 2

– 2

– 3

– 3

– 4

– 4

– 5

– 5

– 6

– 6

Page 23: L2 Graphing Starters Parabola DrawingParabola Drawing Parabola Drawing SolnParabola Drawing Soln Parabola EquationsParabola Equations Parabola Equations.

Log Equations SolnsWrite the equations for these graphs

1st Slide

2xLogy 6

42xLogy 2

3xLogy 4

4xLogy 3

y

x

1

1

2

2

3

3

4

4

– 1

– 1

– 2

– 2

– 3

– 3

– 4

– 4

1

1

2

2

3

3

4

4

5

5

6

6

– 1

– 1

– 2

– 2

– 3

– 3

– 4

– 4

– 5

– 5

– 6

– 6

y

x

1

1

2

2

3

3

4

4

– 1

– 1

– 2

– 2

– 3

– 3

– 4

– 4

1

1

2

2

3

3

4

4

5

5

6

6

– 1

– 1

– 2

– 2

– 3

– 3

– 4

– 4

– 5

– 5

– 6

– 6

Page 24: L2 Graphing Starters Parabola DrawingParabola Drawing Parabola Drawing SolnParabola Drawing Soln Parabola EquationsParabola Equations Parabola Equations.

Graph Intersections 1st Slide

y

x

1

1

2

2

3

3

– 1

– 1

– 2

– 2

– 3

– 3

– 4

– 4

– 5

– 5

– 6

– 6

1

1

2

2

3

3

4

4

5

5

– 1

– 1

– 2

– 2

– 3

– 3

– 4

– 4

– 5

– 5

9y2x 22 Find the intersection points between

1xy

Page 25: L2 Graphing Starters Parabola DrawingParabola Drawing Parabola Drawing SolnParabola Drawing Soln Parabola EquationsParabola Equations Parabola Equations.

Graph Intersections Solns 1st Slide

y

x

1

1

2

2

3

3

– 1

– 1

– 2

– 2

– 3

– 3

– 4

– 4

– 5

– 5

– 6

– 6

1

1

2

2

3

3

4

4

5

5

– 1

– 1

– 2

– 2

– 3

– 3

– 4

– 4

– 5

– 5

9y2x 22 Find the intersection points between

1xy

1x

2x

01x2x

02xx

04x2x2

95x2x2

91x2x4x4x

91x2x

2

2

2

22

22

0y

3y

Coordinates are (1,0) &(-2,-3)

Page 26: L2 Graphing Starters Parabola DrawingParabola Drawing Parabola Drawing SolnParabola Drawing Soln Parabola EquationsParabola Equations Parabola Equations.

Mixed Drawing 1st SlideDraw these graphs

3x

4y

1xLogy 2

1x2x2

1y

53y x

y

x

1

1

2

2

3

3

4

4

– 1

– 1

– 2

– 2

– 3

– 3

– 4

– 4

1

1

2

2

3

3

4

4

5

5

6

6

– 1

– 1

– 2

– 2

– 3

– 3

– 4

– 4

– 5

– 5

– 6

– 6

y

x

1

1

2

2

3

3

4

4

– 1

– 1

– 2

– 2

– 3

– 3

– 4

– 4

1

1

2

2

3

3

4

4

5

5

6

6

– 1

– 1

– 2

– 2

– 3

– 3

– 4

– 4

– 5

– 5

– 6

– 6

Page 27: L2 Graphing Starters Parabola DrawingParabola Drawing Parabola Drawing SolnParabola Drawing Soln Parabola EquationsParabola Equations Parabola Equations.

Mixed Drawing Soln 1st SlideDraw these graphs

3x

4y

y

x

1

1

2

2

3

3

4

4

– 1

– 1

– 2

– 2

– 3

– 3

– 4

– 4

1

1

2

2

3

3

4

4

5

5

6

6

– 1

– 1

– 2

– 2

– 3

– 3

– 4

– 4

– 5

– 5

– 6

– 6

1xLogy 2

y

x

1

1

2

2

3

3

4

4

– 1

– 1

– 2

– 2

– 3

– 3

– 4

– 4

1

1

2

2

3

3

4

4

5

5

6

6

– 1

– 1

– 2

– 2

– 3

– 3

– 4

– 4

– 5

– 5

– 6

– 6

1x2x2

1y

53y x

Page 28: L2 Graphing Starters Parabola DrawingParabola Drawing Parabola Drawing SolnParabola Drawing Soln Parabola EquationsParabola Equations Parabola Equations.

Mixed Equations 1st Slide

Write the equations for these graphs

y

x

1

1

2

2

3

3

– 1

– 1

– 2

– 2

– 3

– 3

– 4

– 4

– 5

– 5

– 6

– 6

1

1

2

2

3

3

4

4

5

5

– 1

– 1

– 2

– 2

– 3

– 3

– 4

– 4

– 5

– 5

y

x

1

1

2

2

3

3

– 1

– 1

– 2

– 2

– 3

– 3

– 4

– 4

– 5

– 5

– 6

– 6

1

1

2

2

3

3

4

4

5

5

– 1

– 1

– 2

– 2

– 3

– 3

– 4

– 4

– 5

– 5

Page 29: L2 Graphing Starters Parabola DrawingParabola Drawing Parabola Drawing SolnParabola Drawing Soln Parabola EquationsParabola Equations Parabola Equations.

Mixed Equations Soln 1st Slide

Write the equations for these graphs

y

x

1

1

2

2

3

3

– 1

– 1

– 2

– 2

– 3

– 3

– 4

– 4

– 5

– 5

– 6

– 6

1

1

2

2

3

3

4

4

5

5

– 1

– 1

– 2

– 2

– 3

– 3

– 4

– 4

– 5

– 5

y

x

1

1

2

2

3

3

– 1

– 1

– 2

– 2

– 3

– 3

– 4

– 4

– 5

– 5

– 6

– 6

1

1

2

2

3

3

4

4

5

5

– 1

– 1

– 2

– 2

– 3

– 3

– 4

– 4

– 5

– 5

52y1x 22

12xy 2 x2

3y

2x3xxy

Page 30: L2 Graphing Starters Parabola DrawingParabola Drawing Parabola Drawing SolnParabola Drawing Soln Parabola EquationsParabola Equations Parabola Equations.

Excellence A 1st Slide

The temperature in a heated glasshouse can be modelled using a hyperbola. The form of the equation is given below.

t = temp in centigrade & h = hours after the heating is turned on 1 2 3 4 5 6 7 8 9 10 11 12 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15

t

h

1

1

2

2

3

3

4

4

5

5

6

6

7

7

8

8

9

9

10

10

11

11

12

12

1

1

2

2

3

3

4

4

5

5

6

6

7

7

8

8

9

9

10

10

11

11

12

12

13

13

14

14

15

15

1) Find an equation to model the temperature

2) Use your equation to find the temperature after 8 hr

CBh

At

Page 31: L2 Graphing Starters Parabola DrawingParabola Drawing Parabola Drawing SolnParabola Drawing Soln Parabola EquationsParabola Equations Parabola Equations.

Excellence A Soln 1 1st Slide

The temperature in a heated glasshouse can be modelled using a hyperbola. The form of the equation is given below.

t = temp in centigrade & h = hours after the heating is turned on 1 2 3 4 5 6 7 8 9 10 11 12 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15

t

h

1

1

2

2

3

3

4

4

5

5

6

6

7

7

8

8

9

9

10

10

11

11

12

12

1

1

2

2

3

3

4

4

5

5

6

6

7

7

8

8

9

9

10

10

11

11

12

12

13

13

14

14

15

15

1) Find an equation to model the temperatureC

BhA

t

Page 32: L2 Graphing Starters Parabola DrawingParabola Drawing Parabola Drawing SolnParabola Drawing Soln Parabola EquationsParabola Equations Parabola Equations.

Excellence A Soln 2 1st Slide

The temperature in a heated glasshouse can be modelled using a hyperbola. The form of the equation is given below.

t = temp in centigrade & h = hours after the heating is turned on 1 2 3 4 5 6 7 8 9 10 11 12 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15

t

h

1

1

2

2

3

3

4

4

5

5

6

6

7

7

8

8

9

9

10

10

11

11

12

12

1

1

2

2

3

3

4

4

5

5

6

6

7

7

8

8

9

9

10

10

11

11

12

12

13

13

14

14

15

15

1) Find an equation to model the temperature

2) Use your equation to find the temperature after 8 hr

3

114t

Page 33: L2 Graphing Starters Parabola DrawingParabola Drawing Parabola Drawing SolnParabola Drawing Soln Parabola EquationsParabola Equations Parabola Equations.

Excellence B 1st Slide

A population of hamsters decreases according to an exponential model. In this form:

P = population & m = months

1) Find an equation to model the population

2) Use your equation to find the population after 7 months

5 10 15 20 50 100 150 200 250

P

m

5

5

10

10

15

15

20

20

50

50

100

100

150

150

200

200

250

250

CBAP m

Page 34: L2 Graphing Starters Parabola DrawingParabola Drawing Parabola Drawing SolnParabola Drawing Soln Parabola EquationsParabola Equations Parabola Equations.

Excellence B Soln 1 1st Slide

A population of hamsters decreases according to an exponential model.

P = population & m = months

1) Find an equation to model the population

5 10 15 20 50 100 150 200 250

P

m

5

5

10

10

15

15

20

20

50

50

100

100

150

150

200

200

250

250

1008.0120 mP

CBAP m

Page 35: L2 Graphing Starters Parabola DrawingParabola Drawing Parabola Drawing SolnParabola Drawing Soln Parabola EquationsParabola Equations Parabola Equations.

Excellence B Soln 2 1st Slide

A population of hamsters decreases according to an exponential model.

P = population & m = months

2) Use your equation to find the population after 7 months

5 10 15 20 50 100 150 200 250

P

m

5

5

10

10

15

15

20

20

50

50

100

100

150

150

200

200

250

250 1008.0120 xP

CBAP m


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