Question

translating a shape 5 units down will change its position by: a. $(x,y - 5)$ b. $(x + 5,y)$ c. $(x,y + 5)$ d. $(x + 5,y + 5)$

Explanation:

Step1: Recall translation rule

In a coordinate - plane, a vertical translation of a point $(x,y)$ down by $k$ units changes the $y$ - coordinate. The $x$ - coordinate remains the same.

Step2: Identify the change for 5 units down

If we translate a point 5 units down, we subtract 5 from the $y$ - coordinate. So the new coordinates of the point $(x,y)$ are $(x,y - 5)$.

Answer:

A. $(x,y - 5)$