Question

what transformation is happening? (x, y)---->(x + 2,y - 3) slide right 2, down 3 slide left 3, right 2 slide right 2, up 3 slide up 2, left 3

Explanation:

Step1: Analyze x - coordinate change

In the transformation $(x,y)\to(x + 2,y-3)$, the $x$ - coordinate changes from $x$ to $x + 2$. A positive change in the $x$ - coordinate means a right - ward shift. Since the change in $x$ is $+2$, the figure slides right 2 units.

Step2: Analyze y - coordinate change

The $y$ - coordinate changes from $y$ to $y-3$. A negative change in the $y$ - coordinate means a downward shift. Since the change in $y$ is $-3$, the figure slides down 3 units.

Answer:

slide right 2, down 3