Solve for y
y=-3\left(x-1\right)^{2}-1
Solve for x (complex solution)
x=-\frac{\sqrt{-3y-3}}{3}+1
x=\frac{\sqrt{-3y-3}}{3}+1
Solve for x
x=-\frac{\sqrt{-3y-3}}{3}+1
x=\frac{\sqrt{-3y-3}}{3}+1\text{, }y\leq -1
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y=-3\left(x^{2}-2x+1\right)-1
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(x-1\right)^{2}.
y=-3x^{2}+6x-3-1
Use the distributive property to multiply -3 by x^{2}-2x+1.
y=-3x^{2}+6x-4
Subtract 1 from -3 to get -4.
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