kanalonga kanalonga

13-10-2018
Mathematics

contestada

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

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altavistard altavistard

13-10-2018

Answer:

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.

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