SOLUTION: Write an equation in the form y = a(x � h)2 + k for a parabola with focus (0, 5) and directrix y = -3.

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.
***
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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