Question

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

Answer 1

Answer:

$h(x)=2x+3$

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;

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