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Question 541777: What are the x intercepts of the parabola wiht a vertex(3,-2) and y-intercept (0,-7)
Answer by lwsshak3(11628)   (Show Source):
You can put this solution on YOUR website! What are the x intercepts of the parabola with a vertex(3,-2) and y-intercept (0,-7)
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Standard form of equation for a parabola: y=A(x-h)^2+k, (h,k)=(x,y) coordinates of the vertex.
For given parabola:
y=A(x-h)^2+k
y=A(x-3)^2-2
using coordinates of given point (0,-7)
-7=A(0-3)^-2
-7=A(3)^2-2
9A=-5
A=-5/9
Equation of given parabola:
y=A(x-3)^2-2
y=(-5/9)(x-3)^2-2
..
x-intercepts:
set y=0
(-5/9)(x-3)^2-2=0
-5(x-3)^2=2
(x-3)^2=-2/5
(x-3)=√(-2/5)
x=√(-2/5)+3
no real number solution
x-intercepts: none
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