Question

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? 3 7 10 13

Answer 1

`k=17`

Explanation:

we have

`f(x)=2x+3`

If the graph of f(x) shifts
`10` units to the right

then

will be

`f(x)=2(x-10)+3`

so

`2x-k=2(x-10)+3`

`2x-k=2x-20+3`

`-k=-17`

`k=17`

Answer 2

To shift a function to the right simply apply the idea of the parent function being f(x) and a horizontal (left and right) shift as being f(x- or + h) depending if left or right.

TO the right function would be f(x-h), so f(x-10). plug in x-10 into x

f(x-10) = 2(x-10) + 3 = 2x - 20 + 3 = 2x - 17. So k should equal 17?