Answer: D.
Step-by-step explanation:
For an absolute value function, the vertex of [tex]f(x) = |x+h| + k[/tex] is defined as the point (-h, k) for the coordinate (x, y).
When x is equal to negative h, the value for x and value for h effectively cancel out, and only the positive k remains, hence the vertex being (-h, k).
The function given has a vertex at (2, 3). We know that the vertex of an absolute function is (-h, k), so h must equal -2 and k must equal 3.
The equation:
[tex]f(x) = |x-2| + 3[/tex]
