Solve for y
y=-\left(2-x\right)^{2}+3
Solve for x (complex solution)
x=\sqrt{3-y}+2
x=-\sqrt{3-y}+2
Solve for x
x=\sqrt{3-y}+2
x=-\sqrt{3-y}+2\text{, }y\leq 3
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y=3-\left(4-4x+x^{2}\right)
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(2-x\right)^{2}.
y=3-4+4x-x^{2}
To find the opposite of 4-4x+x^{2}, find the opposite of each term.
y=-1+4x-x^{2}
Subtract 4 from 3 to get -1.
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