Question

algebra 2a semester online practice
complete this assessment to review what you’ve learned. it will not count toward your grad
which of the following represents an absolute value function with a vertex of (18, 0)? (1 point)
○ $g(x) = |x - 18|$
○ $g(x) = |x| - 18$
○ $g(x) = |x| + 18$
○ $g(x) = |x + 18|$

Explanation:

Step1: Recall absolute value vertex form

The general form of an absolute value function with vertex \((h, k)\) is \(g(x)=|x - h|+k\).

Step2: Identify \(h\) and \(k\) from the vertex

Given vertex \((18, 0)\), so \(h = 18\) and \(k = 0\).

Step3: Substitute \(h\) and \(k\) into the form

Substituting into \(g(x)=|x - h|+k\), we get \(g(x)=|x - 18|+0=|x - 18|\).

Answer:

A. \(g(x)=|x - 18|\)