Question

question 1-5
the function f(x) = 3|x| is translated to create the function g(x) = 3|x| + 4. what is the vertex of g(x)?

Explanation:

Step1: Recall Vertex of Absolute Value Function

The parent absolute value function \( f(x) = |x| \) has a vertex at \( (0, 0) \). For a function of the form \( g(x)=a|x - h|+k \), the vertex is at \( (h, k) \).

Step2: Identify \( h \) and \( k \) in \( g(x)=3|x| + 4 \)

In the function \( g(x)=3|x| + 4 \), we can rewrite it as \( g(x)=3|x - 0|+4 \). Here, \( h = 0 \) and \( k = 4 \).

Answer:

\((0, 4)\)