SOLUTION: Where does the parabola with the vertex (-4,5)and y-intercept -27 cross the x-axis?

Algebra ->  Quadratic-relations-and-conic-sections -> SOLUTION: Where does the parabola with the vertex (-4,5)and y-intercept -27 cross the x-axis?      Log On


   

Question 341469: Where does the parabola with the vertex (-4,5)and y-intercept -27 cross the x-axis?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
In vertex form,
y=a%28x-h%29%5E2%2Bk
y=a%28x-%28-4%29%29%5E2%2B5
y=a%28x%2B4%29%5E2%2B5
When x=0
16a%2B5=-27
16a=-32
a=-2
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y=-2%28x%2B4%29%5E2%2B5=0
2%28x%2B4%29%5E2=5
%28x%2B4%29%5E2=5%2F2
x%2B4=0+%2B-+sqrt%285%2F2%29
highlight%28x=-4+%2B-+sqrt%2810%29%2F2%29
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