Solve for y
y=-4x^{2}+8x-8
Solve for x (complex solution)
x=-\frac{\sqrt{-y-4}}{2}+1
x=\frac{\sqrt{-y-4}}{2}+1
Solve for x
x=-\frac{\sqrt{-y-4}}{2}+1
x=\frac{\sqrt{-y-4}}{2}+1\text{, }y\leq -4
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y=-4\left(x^{2}-2x+1\right)-4
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(x-1\right)^{2}.
y=-4x^{2}+8x-4-4
Use the distributive property to multiply -4 by x^{2}-2x+1.
y=-4x^{2}+8x-8
Subtract 4 from -4 to get -8.
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