Question

Is f(x)=(3x-6)(-4x+2) linear or quadratic

Answer 1

Answer: It is quadratic.

Step-by-step explanation:

1. You have the following function:

$f(x)=(3x-6)(-4x+2)$

2. To determine if it is linear or quadratic, you can apply the Distributive property of multiplication, as you can see below:

$f(x)=(3x)(-4x)+(3x)(2)+(-6)(-4x)+(-6)(2)\\f(x)=-12x^{2}+6x+24x-12\\f(x)=-12x^{2}+30x-12$

3. The function has the form of a quadratic function:

$f(x)=ax^{2}+bx+c$

4. Therefore, it is a quadratic function.