Question

the graph of F(x) = |x| is shown below. if you horizontally shift this function right 7 units, what is the equation of the new function?

Answer 1

C. G(x) = |x - 7|

Explanation:

An absolute value function has the following form:

`y=|x-a|+b`

Where (a, b) is the origin, if we want to move 7 units to the right, we must add 7 units on the x-axis, that is, in a, therefore, the function would be:

`\begin{gathered} G\left(x\right)=\left|x-+7\right| \\ \\ G(x)=\lvert x-7\rvert \end{gathered}`

So the correct answer is C. G(x) = |x - 7|