Question

what is the vertex of the following function? y=2|x-3|+1? use this form (x, y) for your answer

Explanation:

Step1: Recall the vertex form of absolute value function

The general form of an absolute value function is \( y = a|x - h| + k \), where \((h, k)\) is the vertex of the function.

Step2: Identify \( h \) and \( k \) from the given function

For the function \( y = 2|x - 3| + 1 \), comparing it with the general form \( y = a|x - h| + k \), we can see that \( h = 3 \) and \( k = 1 \).

Answer:

\((3, 1)\)