Question

Given g(x) = 2x + 4, what function h(x) would represent a rightward shift by one unit?

Answer 1

`h(x)=2x+3`

Step-by-step explanation:

Given:

`g(x)=2x+4`

To find:

What function h(x) would represent a rightward shift by one unit

Given a parent function;

`y=f(x)`

To translate the above function h units leftward, we have;

`y=f(x+h)`

To translate the function, h units rightward, we'll have;

`y=f(x-h)`

So to translate the given function one unit rightward, we'll have;

`\begin{gathered} h(x)=(2x-1)+4=2x-1+4=2x+3 \\ h(x)=2x+3 \end{gathered}`