Answer:
y = -1/10x^2 -1/2
Explanation:
The equation for a parabola with focus (a, b) and directrix y = d is ...
y = 1/(2(b -d))(x -a)² +(b +d)/2
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For the given focus and directrix, we have ...
- a = 0
- b = -3
- d = 2
- y = 1/(2(-3-2))(x -0)² +(-3+2)/2
Simplified, the equation is ...
y = -1/10x² -1/2