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