Question

question 2
part a
identify the vertex of this absolute value function.
$f(x) = -2|x + 1| + 2$
type the correct answer in each box. use numerals instead of words.
the vertex of this function is ( , ).

Explanation:

Step1: Recall vertex form of absolute value function

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

Step2: Rewrite given function to match form

Rewrite $f(x) = -2|x + 1| + 2$ as $f(x) = -2|x - (-1)| + 2$.

Step3: Identify h and k values

From the rewritten form, $h = -1$ and $k = 2$.

Answer:

The vertex of this function is $(-1, 2)$.