Solve for y
y=-3\left(x+4\right)^{2}+2
Solve for x (complex solution)
x=-\frac{\sqrt{6-3y}}{3}-4
x=\frac{\sqrt{6-3y}}{3}-4
Solve for x
x=-\frac{\sqrt{6-3y}}{3}-4
x=\frac{\sqrt{6-3y}}{3}-4\text{, }y\leq 2
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y=-3\left(x^{2}+8x+16\right)+2
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(x+4\right)^{2}.
y=-3x^{2}-24x-48+2
Use the distributive property to multiply -3 by x^{2}+8x+16.
y=-3x^{2}-24x-46
Add -48 and 2 to get -46.
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