Question

$f(x)=sin(x-h)+k$ what does the k do?
shifts the graph up or down. up if positive and down if negative.
shifts the graph up or down. up if negative and down if positive.
shifts the graph left or right. right if positive and left if negative.
shifts the graph left or right. left if positive and right if negative.

Explanation:

In function transformations, for a parent function $f(x)$, the form $f(x-h)+k$ represents horizontal and vertical shifts. The constant $k$ is a vertical translation: positive $k$ shifts the graph upward, negative $k$ shifts it downward. Horizontal shifts are controlled by the $h$ value inside the function, not $k$.

Answer:

A. Shifts the graph up or down. Up if positive and down if negative.