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FOCUS VERTEX AND DIRECTRIX OF PARABOLA AND GRAPH WORKSHEET
Graph the parabola and identify the vertex, directrix, and focus.
Problem 1 :
y2 = -12x
Problem 2 :
x2 = 8y
Problem 3 :
6(x + 1)2 + 12(y - 3) = 0
Problem 4 :
y2 - 12(x + 2) = 0
Problem 5 :
(x + 2)2 = -8(y + 2)
Problem 6 :
(y - 1)2 = -8x
Answer Key
|
1)  |
a = 3 Vertex : (0, 0) Equation of directrix x = 3 Focus: F(-3, 0) |
|
2)  |
a = 2 Vertex: (0, 0) Equation of directrix y = -2 Focus: F(0, 2) |
|
3)  |
a = 1/2 Vertex : (-1, 3). Equation of directrix: y = 3.5 Focus: (-1, 2.5). |
|
4)  |
a = 3 Vertex: (-2, 0). Equation of directrix x = -5 Focus: x = 1 |
|
5)  |
a = 2 Vertex: (-2, -2). Equation of directrix y = 0 Focus: (-2, -4). |
|
6)  |
a = 2 Vertex: y = 1 Equation of directrix x = 2 Focus: (-2, 1) |
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