Solve for y
y=-x\left(x-4\right)
Solve for x (complex solution)
x=-\sqrt{4-y}+2
x=\sqrt{4-y}+2
Solve for x
x=-\sqrt{4-y}+2
x=\sqrt{4-y}+2\text{, }y\leq 4
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y=-\left(x^{2}-4x+4\right)+4
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+4
To find the opposite of x^{2}-4x+4, find the opposite of each term.
y=-x^{2}+4x
Add -4 and 4 to get 0.
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