SOLUTION: standard form of parabola vertex (0,0) and focus (0,5) and equation of ellipse vertex (-8,0), co-vertex (0,4) center (0,0)

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Question 38222: standard form of parabola vertex (0,0) and focus (0,5)
and
equation of ellipse vertex (-8,0), co-vertex (0,4) center (0,0)

Answer by Nate(3500) About Me  (Show Source):
You can put this solution on YOUR website!
standard form of parabola vertex (0,0) and focus (0,5)
'p' is the distance from the vertex to the focus and is equal to 1/(4a)
p=5 .... so
5 = 1/(4a)
20a = 1
a = (1/20)
standard form: y+=+a%28x+-+h%29%5E2+%2B+k where (h,k) is the vertex
y+=+%281%2F20%29%28x%29%5E2
equation of ellipse vertex (-8,0), co-vertex (0,4) center (0,0)
a=8
b=4
standard form: %28%28%28x+-+h%29%5E2%29%2Fa%5E2%29%2B%28%28y+-+k%29%5E2%2Fb%5E2%29=1 where the center is (h,k)
%28%28%28x%29%5E2%29%2F64%29%2B%28%28y%29%5E2%2F16%29=1