Question 110695: Graph each function. First find the Vertex and Axis of Symmetry:
1. f(x)=-x^2+x-1
2. g(x)=2x^2+4x-1
3. y=x^2+10x+25
thank you Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! Graph each function. First find the Vertex and Axis of Symmetry:
1. f(x)=-x^2+x-1
-x^2+x = y+1
Complete the square on the x-terms.
-(x^2-x+(1/2)^2) = y+1-(1/2)^2
-(x-(1/2))^2 = y + (5/4)
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Axis of Symmetry: x=1/2
Vertex: ((1/2),(-5/4))
Graph:
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2. g(x)=2x^2+4x-1
2x^2+4x = y+1
2(x^2+2x+1) = y+1+2
2(x+1)^2 = y+3
------------
Axis of Sym: x=-1
Vertex: (-1,-3)
Graph:
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3. y=x^2+10x+25
(x+5)^2 = y
--------
Vertex: (-5,0)
Axis of Sym: x=-5
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Cheers,
Stan H.
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