The graph of f(x) = 2x + 3 shifts 10 units to the right when it is replaced with the graph of f(x) = 2x − k. what is the value of k?

ANSWER

EXPLANATION

The given function is

The translation that shifts this function 10 units to the right is

This implies that

We expand the parenthesis to get:

Comparing this equation with

we have

k=17

The new function would be f(x)=2x-17

In the previous function when u put x=0 you got 3.

Now when the function moves 10 units to the right you still have to get y=3 for x=10. So

2x-k=3 substitute 10 for x

20-k=3 solve for k

K=17.

i can't see the picture : /

need more info

step-by-step explanation: