Question

Identify the parent function that can be used to graph the function f(x)= -2x+2

Answer 1

Answer: OPTION C

Step-by-step explanation:

2. The parent function of a linear function is the simplest form of a linear function and this is:

f(x)=x.  Because from this function we can make transformations that allow us to obtain the function f(x) = -2x + 2

3. If you take the parent function and make f(x)-1, then you have:

f(x)-1=x-1 (The function is shifted down 1 unit on the y-axis).

4. Then you make -2f(x), as following:

y=-2(f(x)-1)=-2x+2 (The function is reflected in the y-axis).

5. That is how you obtain the final function.