Question

what is the result of a vertical translation of a point (x, y) by k units? (x, y) → (x, -y) (x, y) → (x, y+k) (x, y) → (x+h, y) (x, y) → (-x, y)

Explanation:

Step1: Recall vertical - translation rule

In a coordinate - plane, a vertical translation changes the y - coordinate of a point. If a point $(x,y)$ is translated vertically by $k$ units, the x - coordinate remains the same and the y - coordinate is adjusted by $k$.
If $k>0$, the point moves up; if $k < 0$, the point moves down. The general form of a vertical translation of a point $(x,y)$ by $k$ units is $(x,y)\to(x,y + k)$.

Answer:

$(x,y)\to(x,y + k)$