Solve for y
y=-2\left(x+3\right)^{2}+4
Solve for x (complex solution)
x=-\frac{\sqrt{8-2y}}{2}-3
x=\frac{\sqrt{8-2y}}{2}-3
Solve for x
x=-\frac{\sqrt{8-2y}}{2}-3
x=\frac{\sqrt{8-2y}}{2}-3\text{, }y\leq 4
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y=-2\left(x^{2}+6x+9\right)+4
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(x+3\right)^{2}.
y=-2x^{2}-12x-18+4
Use the distributive property to multiply -2 by x^{2}+6x+9.
y=-2x^{2}-12x-14
Add -18 and 4 to get -14.
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Limits
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