Question

what is the vertex of the graph of $g(x) = |x - 8| + 6$? \
\bigcirc (6, 8) \
\bigcirc (8, 6) \
\bigcirc (6, -8) \
\bigcirc (-8, 6)

Explanation:

Step1: Recall vertex form of absolute value function

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

Step2: Identify h and k in given function

For $g(x) = |x - 8| + 6$, $h = 8$ and $k = 6$.

Step3: Determine the vertex

The vertex is $(h, k) = (8, 6)$.

Answer:

(8, 6)