Solve for y
y=\left(x-4\right)^{2}+7
Solve for x (complex solution)
x=-\sqrt{y-7}+4
x=\sqrt{y-7}+4
Solve for x
x=-\sqrt{y-7}+4
x=\sqrt{y-7}+4\text{, }y\geq 7
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y=x^{2}-8x+16+7
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(x-4\right)^{2}.
y=x^{2}-8x+23
Add 16 and 7 to get 23.
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