Question

what is the equation for this graph? (fill in the blank with an integer.)
( y = |x + square| )

Explanation:

Step1: Identify vertex of absolute value graph

The vertex of the graph is at $(5, 0)$.

Step2: Recall vertex form of absolute value function

The vertex form is $y = |x - h|$ where $(h, 0)$ is the vertex.

Step3: Substitute vertex value into formula

Substitute $h=5$: $y = |x - 5|$, which matches $y = |x + \square|$ when $\square = -5$.

Answer:

$y = |x - 5|$