Chapter 4 Quadratic Functions and Factoring - 4.2 Graph Quadratic Function in Vertex or Intercept Form - 4.2 Exercises - Skill Practice - Page 249: 32

$$f(x) =12x^2 -24x+16$$

We are asked to put this equation in standard form. Thus, we first use the FOIL method. Next, we simplify until the equation is put in the form $y=ax^2+bx+c$. Doing this, we obtain: $$f(x)=12(x-1)(x-1)+4 \\ f(x) =12 (x^2-2x+1)+4 \\ f(x) = 12x^2-24x+12 +4 \\ f(x) =12x^2 -24x+16$$