Expand
3x^{2}-12x+\frac{29}{2}
Evaluate
3\left(x-2\right)^{2}+\frac{5}{2}
Graph
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3\left(x^{2}-4x+4\right)+\frac{5}{2}
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(x-2\right)^{2}.
3x^{2}-12x+12+\frac{5}{2}
Use the distributive property to multiply 3 by x^{2}-4x+4.
3x^{2}-12x+\frac{29}{2}
Add 12 and \frac{5}{2} to get \frac{29}{2}.
3\left(x^{2}-4x+4\right)+\frac{5}{2}
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(x-2\right)^{2}.
3x^{2}-12x+12+\frac{5}{2}
Use the distributive property to multiply 3 by x^{2}-4x+4.
3x^{2}-12x+\frac{29}{2}
Add 12 and \frac{5}{2} to get \frac{29}{2}.
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