Solve for y
y=-\left(x-2\right)^{2}+2
Solve for x (complex solution)
x=-\sqrt{2-y}+2
x=\sqrt{2-y}+2
Solve for x
x=-\sqrt{2-y}+2
x=\sqrt{2-y}+2\text{, }y\leq 2
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y=-\left(x^{2}-4x+4\right)+2
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(x-2\right)^{2}.
y=-x^{2}+4x-4+2
To find the opposite of x^{2}-4x+4, find the opposite of each term.
y=-x^{2}+4x-2
Add -4 and 2 to get -2.
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