Evaluate
\frac{\left(x-2\right)^{2}}{2}-1
Expand
\frac{x^{2}}{2}-2x+1
Graph
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\frac{1}{2}\left(x^{2}-4x+4\right)-1
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(x-2\right)^{2}.
\frac{1}{2}x^{2}-2x+2-1
Use the distributive property to multiply \frac{1}{2} by x^{2}-4x+4.
\frac{1}{2}x^{2}-2x+1
Subtract 1 from 2 to get 1.
\frac{1}{2}\left(x^{2}-4x+4\right)-1
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(x-2\right)^{2}.
\frac{1}{2}x^{2}-2x+2-1
Use the distributive property to multiply \frac{1}{2} by x^{2}-4x+4.
\frac{1}{2}x^{2}-2x+1
Subtract 1 from 2 to get 1.
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