Question

Identify the parent function that can be used to graph the function f(x)=2[x-6]

Answer 1

Answer: Option b.

Step-by-step explanation:

 1. The parent function of a Function part full is shown below:

f(x)=[x] (This is the simplest form) Because from this function we can make transformations that allow us to obtain the function f(x) =2[x-6]

2. If you take the parent function and make y=f(x-6), then you have:

f(x-6)=[x-6] (The function is shifted 6 units on the positive x-axis)

3. Then you if you make y = 2f(x-6), as following, you obtain:

y = 2f(x-6)=2[x-6] (The function It expands vertically in the y-axis).

4. That is how you obtain the final function.