Question

8 the vertex of the function $f(x)=-\frac{1}{2}|x - 5|+7$ is $(5,7)$ a true b false

Explanation:

Step1: Recall absolute value vertex form

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

Step2: Match given function to form

For $f(x)=-\frac{1}{2}|x-5|+7$, identify $h=5$, $k=7$.

Step3: Verify vertex coordinates

The vertex is $(h,k)=(5,7)$, which matches the statement.

Answer:

A. True