Precalculus Honors Name_________________________

Parabolas and Systems Date__________________________

Find the vertex, focus, and equation of the directrix.

1. 25

6

xy 2.

22 8 5x y

Vertex: Vertex:

Focus: Focus:

Directrix: Directrix:

3. 2

2 16 3y x 4. 2

1 12 6x y

Vertex: Vertex:

Focus: Focus:

Directrix: Directrix:

5. 24 24 33x y y 6. 26 6 9y x x

Vertex: Vertex:

Focus: Focus:

Directrix: Directrix:

Precalculus Honors Name_________________________

Parabolas and Systems Date__________________________

7. Find the equation of the parabola with focus (2, 2) and directrix y = -7.

8. Find the equation of the parabola with focus (1, 0) and directrix x = -1.

9. Find the equation of the parabola with focus (-6, 0) and vertex (0, 0).

10. Find the equation of the parabola that opens up, has a vertex of (-1, -3) and is congruent to

the parabola 24y x .

Precalculus Honors Name_________________________

Parabolas and Systems Date__________________________

Solve.

11.

22

2 1

1 5

y x

x y

12.

2 2

2 2

4 16

2 4

x y

x y

13.

2 2

2

3 4 8

4 3

x y

y x

14.

2 2 13

6

x y

xy