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