A parabola's focus is at (0,-2) and its directrix is at y=2. What is the equation for the parabola?

Question

Mathematics

Todd

26 March, 17:34

A parabola's focus is at (0,-2) and its directrix is at y=2. What is the equation for the parabola?

+2

Answers (1)

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Jamar Farley · Answer 1

y = - 8x

Step-by-step explanation:

Because the y-coordinate of the focus is - 2, it's below the directrix, y = 2. The vertex is at (0,0) Thus, the graph of the parabola opens down. The appropriate equation is y = 4px, where p = - 2. Thus, we have y = 4 (-2) x, or y = - 8x.