Question

select the correct answer. if the graph of $f(x)=|x|$ is shifted up 7 units, which equation describes the graph of the new function? $\bigcirc$ $g(x)=|x|-7$ $\bigcirc$ $g(x)=|x - 7|$ $\bigcirc$ $g(x)=|x + 7|$ $\bigcirc$ $g(x)=|x|+7$

Explanation:

Step1: Recall vertical shift rule

For a function $f(x)$, shifting it up by $k$ units gives $f(x)+k$.

Step2: Apply rule to given function

Here, $f(x)=|x|$ and $k=7$. So new function is $|x| + 7$.

Answer:

$g(x) = |x| + 7$