SOLUTION: Find the x intercepts of the parabola with vertex (1,-13) and y intercept (0.-11)

Question 621554: Find the x intercepts of the parabola with vertex (1,-13) and y intercept (0.-11)
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
Find the x intercepts of the parabola with vertex (1,-13) and y intercept (0.-11)
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Standard form of equation for a parabola: y=A(x-h)^2+k, (h,k)=(x,y) coordinates of vertex
using given coordinates of vertex:
y=A(x-1)^2-13
using given coordinates of y-intercept:
-11=A(0-1)^2-13
A=2
Equation of parabola: y=2(x-1)^2-13
x-intercepts
set y=0
0=2(x-1)^2-13
2(x-1)^2=13
(x-1)^2=13/2
x-1=�√(13/2)
x=1�√(13/2)
x=1�2.55
x≈-1.55
or
x≈3.55
See graph below as visual check:

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