Question 606002
Find the standard equation of a parabola that has a vertical axis and satisfies the given conditions.
vertex (0, −5), passing through (4, 27)
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Standard form of equation for parabola: y=A(x-h)^2+k, (h,k)=(x,y) coordinates of vertex.
For given parabola:
equation: 
y=A(x-0)^2-5
using coordinates of given point (4,27)
27=A4^2-5=16A-5
16A=32
A=2
Equation of given parabola:
y=2x^2-5