Evaluate
4\left(x+2\right)^{2}+1
Expand
4x^{2}+16x+17
Graph
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4\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}.
4x^{2}+16x+16+1
Use the distributive property to multiply 4 by x^{2}+4x+4.
4x^{2}+16x+17
Add 16 and 1 to get 17.
4\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}.
4x^{2}+16x+16+1
Use the distributive property to multiply 4 by x^{2}+4x+4.
4x^{2}+16x+17
Add 16 and 1 to get 17.
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