Solve f(x)=1/4(x-6)^2

$$f ( x ) = \frac { 1 } { 4 } ( x - 6 ) ^ { 2 }$$

Evaluate

$$\frac{\left(x-6\right)^{2}}{4}$$

Solution Steps

Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(x-6\right)^{2}.

$$\frac{1}{4}\left(x^{2}-12x+36\right)$$

Use the distributive property to multiply \frac{1}{4} by x^{2}-12x+36.

$$\frac{1}{4}x^{2}-3x+9$$

Expand

$$\frac{x^{2}}{4}-3x+9$$

Solution Steps

Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(x-6\right)^{2}.

$$\frac{1}{4}\left(x^{2}-12x+36\right)$$

Use the distributive property to multiply \frac{1}{4} by x^{2}-12x+36.

$$\frac{1}{4}x^{2}-3x+9$$