Notes Over 10.6

2 ,3 :Vertex .1

Writing an Equation of a Translated ParabolaWriting an Equation of a Translated ParabolaWrite an equation for the parabola.

2p

up

4 2 ypx

4 ,3 :Focus3 2

283 2 yx

2

Notes Over 10.6

2 ,1 :Vertex .2

Writing an Equation of a Translated ParabolaWriting an Equation of a Translated ParabolaWrite an equation for the parabola.

4p

right

4 2 xpy

2 ,5 :Focus1 2

1162 2 xy

4

Notes Over 10.6

3 ,2 :Vertex .3

Writing an Equation of a Translated ParabolaWriting an Equation of a Translated ParabolaWrite an equation for the parabola.

2p

down

4 2 ypx

5 ,2 :Focus 2 3

382 2 yx

2

Notes Over 10.6Graphing the Equation of a Translated ConicGraphing the Equation of a Translated ConicGraph the equation.

913 .4 22 yxcircle ,3:center 1

3:radius

Notes Over 10.6Graphing the Equation of a Translated ConicGraphing the Equation of a Translated ConicGraph the equation.

1

1

4

4

2 .5

22

xy

ellipse

,4:center 21:out distance

2:up/down distance

Notes Over 10.6Graphing the Equation of a Translated ConicGraphing the Equation of a Translated ConicGraph the equation.

342 .6 2 yxparabola

,2:vertex 3

fast as 4

1up

Notes Over 10.6Graphing the Equation of a Translated ConicGraphing the Equation of a Translated ConicGraph the equation.

1

16

5

9

2 .7

22

yx

hyperbola ,2:center 5

Transverse Axis: horizontal

3:out distance4:up/down distance

01148 .8 22 yxyx

Notes Over 10.6Classifying ConicsClassifying ConicsClassify the conic section and write the equation in standard form.

circle

16xx 82 yy 42 11 164 4

24x 22 y 9

01346 .9 2 yxx

Notes Over 10.6Classifying ConicsClassifying ConicsClassify the conic section and write the equation in standard form.

parabola

9xx 62 134 y 9

23x 44 y

14 y 23x

01616454169 .10 22 yxyx

Notes Over 10.6Classifying ConicsClassifying ConicsClassify the conic section and write the equation in standard form.

hyperbola

yy 6416 2 xx 549 2 161

2216 y 239 x 144

42 yy 62 xx 16116 94 649 81

144 144 1449 161

9

2 2y 16

3 2x

1

04484 .11 22 yxyx

Notes Over 10.6Classifying ConicsClassifying ConicsClassify the conic section and write the equation in standard form.

ellipse

xx 84 2 yy 42 4

214 x 22 y 4

22 xx 44 yy 42 1 44 4

4 4 411

1

1 2x 4

2 2y

1

Notes Over 10.6