Solve for y
y=4\left(x-2\right)^{2}+6
Solve for x (complex solution)
x=-\frac{\sqrt{y-6}}{2}+2
x=\frac{\sqrt{y-6}}{2}+2
Solve for x
x=-\frac{\sqrt{y-6}}{2}+2
x=\frac{\sqrt{y-6}}{2}+2\text{, }y\geq 6
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y=4\left(x^{2}-4x+4\right)+6
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(x-2\right)^{2}.
y=4x^{2}-16x+16+6
Use the distributive property to multiply 4 by x^{2}-4x+4.
y=4x^{2}-16x+22
Add 16 and 6 to get 22.
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