Question

consider the figure and its image. describe the transformation. use decimals, if necessary.

Explanation:

Step1: Observe point - to - point mapping

Compare coordinates of corresponding points (e.g., $A$ and $A'$, $B$ and $B'$, $C$ and $C'$).

Step2: Determine translation rule

Point $B(0,2)$ moves to $B'(1,0)$. The $x$ - coordinate of $B$ increases by $1$ ($0 + 1=1$) and the $y$ - coordinate decreases by $2$ ($2-2 = 0$). Checking other points: $A(-3,4)$ moves to $A'(-2,2)$ ($x$ increases by $1$, $y$ decreases by $2$), $C(-2,-1)$ moves to $C'(-1,-3)$ ($x$ increases by $1$, $y$ decreases by $2$).

Answer:

The transformation is a translation $1$ unit to the right and $2$ units down.