Question

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

Answer 1

Answer: D.

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`