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Question 932180: Write an equation in the form y = a(x – h)2 + k for a parabola with focus (0, 5) and directrix y = -3.
Answer by lwsshak3(11628)   (Show Source):
You can put this solution on YOUR website! Write an equation in the form y = a(x – h)2 + k for a parabola with focus (0, 5) and directrix y = -3.
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Given parabola opens upward:
Basic form of equation: (x-h)^2=4p(y-k)
vertex: (0,1)(midway between focus and directrix on the axis of symmetry)
axis of symmetry: y=0 or x-axis
p=4 (distance from vertex to focus or directrix on the axis of symmetry
4p=16
equation: (x)^2=16(y-k)
x^2/16=y-1
y=(1/16)x^2+1
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