# If #f(x) = -2x^2 + 2x -2#. what is #f(a-1)#?

##### 1 Answer

Dec 31, 2015

#### Explanation:

Replace each

#f(a-1)=-2(a-1)^2+2(a-1)-2#

First, distribute the squared terms. You can either write out

#=>-2(a^2-2a+1)+2(a-1)-2#

Distribute the

#=>-2a^2+4a-2+2a-2-2#

Group like terms.

#=>-2a^2+(4a+2a)+(-2-2-2)#

Add.

#=>-2a^2+6a-6#

Optionally factored:

#=>-2(a^2-3a+3)#