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Question 721007: write the equation y^2 - 8y - 8x = 8 in standard form. (parabola)
Answer by lwsshak3(11628) (Show Source):
You can put this solution on YOUR website! write the equation y^2 - 8y - 8x = 8 in standard form.
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y^2-8y-8x=8
complete the square:
(y^2-8y+16)-16-8x=8
(y-4)^2=8x+24
(y-4)^2=8(x+3) (Basic form of equation)
x=(1/8)(y-4)^2-3(Vertex form of equation)
This is a parabola that opens rightward with vertex at (-3,4)
Basic form of equation: (y-k)^2=4p(x-h), (h,k)=(x,y) coordinates of the vertex
Vertex form of equation: x=A(y-4)^2+k, (h,k)=(x,y) coordinates of the vertex
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