Question

the graph of g(x) = |x| + 5 is translated 5 units select choice in relation to the graph of the parent function.

Explanation:

Step1: Recall Parent Function

The parent function of \( g(x) = |x| + 5 \) is \( f(x) = |x| \).

Step2: Analyze Vertical Translation

For a function \( y = f(x) + k \), if \( k>0 \), the graph is translated \( k \) units up. Here, \( g(x)=|x| + 5=f(x)+5 \) with \( k = 5>0 \), so it's a vertical translation 5 units up.

Answer:

up