Hyperbola/Parabola Quiz Review

Directions

• Take out a sheet of paper to answer all of the review problems. This will be collected for participation points!

• The “Last Man Standing” will be your prize!

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Graph the parabola:

2( 4) 8( 1)x y

Graph the parabola:

2( 4) 8( 1)x y

Write the equation of the conic in Standard form:

2 23 5 12 10 2 0x y x y

Write the equation of the conic in Standard form:

2 23 5 12 10 2 0x y x y

Write the equation of the conic in parametric form:

2 2( 4) ( 1)1

16 36

x y

Write the equation of the conic in parametric form:

2 2( 4) ( 1)1

16 36

x y

Find the coordinates of the Focal points of the shape:

2 2( 4) ( 1)1

16 4

x y

Find the coordinates of the Focal points of the shape:

2 2( 4) ( 1)1

16 4

x y

Graph the parabola:

2(y 3) 16(x 4)

Graph the parabola:

2(y 3) 16(x 4)

Write the equation of an hyperbola that has foci at

(0,6) and (0,-6) and the length of the transverse

axis is 8.

Write the equation of an hyperbola that has foci at

(0,6) and (0,-6) and the length of the transverse

axis is 8.

Write the parametric equations of the conic section:

2 2( 3) ( 1)1

4 9

y x

Write the parametric equations of the conic section:

2 2( 3) ( 1)1

4 9

y x

Write the equation of the conic section in standard form:

2 25 6 12 20 44 0y x x y

Write the equation of the conic section in standard form:

2 25 6 12 20 44 0y x x y

Graph the hyperbola: 2 2( 1)

14 16

y x

Graph the hyperbola: 2 2( 1)

14 16

y x

Write the conic section in standard form:2 8 8 24y y x

Write the conic section in standard form:2 8 8 24y y x

Write the parametric equations for the conic section:

2 21 ( 11)1

64 36

x y

Write the parametric equations for the conic section:

2 21 ( 11)1

64 36

x y

Find the coordinates of the foci of the conic section:

2 2( 4) ( 2)1

4 36

x y

Find the coordinates of the foci of the conic section:

2 2( 4) ( 2)1

4 36

x y

Graph the hyperbola:2 2( 3)

136 4

x y

Graph the hyperbola:2 2( 3)

136 4

x y

Write the equation of a parabola that has a directrix at x = 4 and the vertex is at the point

(0, 6).

Write the equation of a parabola that has a directrix at x = 4 and the vertex is at the point

(0, 6).

Write the equation of a hyperbola that has endpoints of the transverse axis at (-4, 3) and (-4, 7) and the foci are at (-4, 1) and (-4, 9).

Write the equation of a hyperbola that has endpoints of the transverse axis at (-4, 3) and (-4, 7) and the foci are at (-4, 1) and (-4, 9).

Write the parametric equations of the conic section:

24 4( 1)x y

Write the parametric equations of the conic section:

24 4( 1)x y