Algebra 2/Trigonometry
Name
Section 9-5
Date
Parabolas Review
1. Find the equation in standard form of the parabola whose focus is (0, 6) and vertex is (0, 0).
2. Find the equation in standard form of the parabola whose vertex is (-4, -8) and directrix is x = -3.
3. Find the equation in standard form of the parabola whose focus is (4, 0) and directrix is y = 4.
1
4. Find the focus, directrix, and focal length of the parabola whose equation is y = − x 2 .
8
Vertex:
Focus:
Directrix:
Focal length:
5. Find the vertex, focus, directrix, and focal length of the parabola whose equation is
y 2 − 12x + 10 y + 37 = 0.
Vertex:
Focus:
Directrix:
Focal length:
6. Find the vertex, focus, directrix, and focal length of the parabola whose equation is
2x + x 2 − 4 y + 1 = 0.
Vertex:
Focus:
Directrix:
Focal length: