SOLUTION: Find the standard equation of a parabola that has a vertical axis and satisfies the given conditions. vertex (0, −5), passing through (4, 27)

Algebra ->  Functions -> SOLUTION: Find the standard equation of a parabola that has a vertical axis and satisfies the given conditions. vertex (0, −5), passing through (4, 27)       Log On


   

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)
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
Find the standard equation of a parabola that has a vertical axis and satisfies the given conditions.
vertex (0, −5), passing through (4, 27)
**
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