Solve for y
y=2\left(x^{2}+6x+11\right)
Solve for x (complex solution)
x=-\frac{\sqrt{2y-8}}{2}-3
x=\frac{\sqrt{2y-8}}{2}-3
Solve for x
x=-\frac{\sqrt{2y-8}}{2}-3
x=\frac{\sqrt{2y-8}}{2}-3\text{, }y\geq 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+22
Add 18 and 4 to get 22.
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