Solve for y
y=5\left(x-2\right)^{2}+7
Solve for x (complex solution)
x=-\frac{\sqrt{5y-35}}{5}+2
x=\frac{\sqrt{5y-35}}{5}+2
Solve for x
x=-\frac{\sqrt{5y-35}}{5}+2
x=\frac{\sqrt{5y-35}}{5}+2\text{, }y\geq 7
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y=5\left(x^{2}-4x+4\right)+7
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(x-2\right)^{2}.
y=5x^{2}-20x+20+7
Use the distributive property to multiply 5 by x^{2}-4x+4.
y=5x^{2}-20x+27
Add 20 and 7 to get 27.
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