Answer: It is quadratic.
Step-by-step explanation:
1. You have the following function:
[tex]f(x)=(3x-6)(-4x+2)[/tex]
2. To determine if it is linear or quadratic, you can apply the Distributive property of multiplication, as you can see below:
[tex]f(x)=(3x)(-4x)+(3x)(2)+(-6)(-4x)+(-6)(2)\\f(x)=-12x^{2}+6x+24x-12\\f(x)=-12x^{2}+30x-12[/tex]
3. The function has the form of a quadratic function:
[tex]f(x)=ax^{2}+bx+c[/tex]
4. Therefore, it is a quadratic function.
