Question 944319: find the x-intercepts of the parabola with vertex (1,1) and y-intercept(0,-3)
Answer by lwsshak3(11628)   (Show Source):
You can put this solution on YOUR website! find the x-intercepts of the parabola with vertex (1,1) and y-intercept(0,-3)
***
vertex form of equation for a parabola: y=A(x-h)^2+k, (h,k)=coordinates of vertex
solving for A:
-3=A(0-1)^2+1
A=-4
equation: y=-4(x-1)^2+1
x-intercepts
set y=0
-4(x-1)^2+1=0
(x-1)^2=1/4
x-1=±√(1/4)=±1/2
x=1±1/2
x-intercepts:
x=1/2
x=3/2
|
|
|
