Question

question 9 of 40
which of the following is the graph of $y = |x - 3|$?

a. graph a

b. graph b

text description for graph

c. graph c

text description for graph

d. graph d

Explanation:

Step1: Find vertex of absolute value function

The vertex of $y = |x - h| + k$ is $(h, k)$. For $y = |x - 3|$, $h=3$, $k=0$, so vertex is $(3,0)$.

Step2: Check graph vertices

Option A has vertex $(3,0)$; others have vertices at $(0,3)$ (B), $(-3,0)$ (C), $(0,-3)$ (D).

Answer:

A. [Graph with vertex at (3,0)]