Solve for y
y=-3\left(x+2\right)^{2}-2
Solve for x (complex solution)
x=-\frac{\sqrt{-3y-6}}{3}-2
x=\frac{\sqrt{-3y-6}}{3}-2
Solve for x
x=-\frac{\sqrt{-3y-6}}{3}-2
x=\frac{\sqrt{-3y-6}}{3}-2\text{, }y\leq -2
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y=-3\left(x^{2}+4x+4\right)-2
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(x+2\right)^{2}.
y=-3x^{2}-12x-12-2
Use the distributive property to multiply -3 by x^{2}+4x+4.
y=-3x^{2}-12x-14
Subtract 2 from -12 to get -14.
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