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Question 518831: what are the vertex, y-intercept, and x intercepts for -(2x-3)(x+2)
Answer by lwsshak3(11628)   (Show Source):
You can put this solution on YOUR website! what are the vertex, y-intercept, and x intercepts for -(2x-3)(x+2)
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y=-(2x-3)(x+2)
y=(-2x+3)(x+2)=0
x-intercepts
-2x+3=0
2x=3
x=3/2
or
x+2=0
x=-2
..
y-intercepts
x=0
y=-(2x-3)(x+2)=6
..
Vertex
y=-(2x^2+x-6)=-2x^2-x+6
complete the square
y=-2(x^2+x/2+1/16)+6+1/8
y=-2(x+1/4)^2+49/8
vertex:(-1/4,49/8)
ans:
x-intercepts: 3/2 and -2
y-intercept=6
vertex:(-1/4,49/8)
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