Question

PLEASE HELP!!! WHICH OF THE FOLLOWING FUNCTIONS IS GRAPHED BELOW?

Answer 1

Answer: D.

Step-by-step explanation:

For an absolute value function, the vertex of $f(x) = |x+h| + k$ 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:

$f(x) = |x-2| + 3$