Question

Translate the figure 6 units right and 5 units down.

Answer 1

Let:

$\begin{gathered} A=(-8,4) \\ B=(-6,4) \\ C=(-2,7) \\ D=(-2,9) \\ E=(-6,7) \end{gathered}$

After a translation 6 units right and 5 units down:

$\begin{gathered} A\to(x+6,y-5)\to A^{\prime}=(-8+6,4-5)=(-2,-1) \\ B\to(x+6,y-5)\to B^{\prime}=(-6+6,4-5)=(0,-1) \\ C\to(x+6,y-5)\to C^{\prime}=(-2+6,7-5)=(4,2) \\ D\to(x+6,y-5)\to D^{\prime}=(-2+6,9-5)=(4,4) \\ E\to(x+6,y-5)\to E^{\prime}=(-6+6,7-5)=(0,2) \end{gathered}$

Hence:

$\begin{gathered} A^{\prime}=(-2,-1) \\ B^{\prime}=(0,-1) \\ C^{\prime}=(4,2) \\ D^{\prime}=(4,4) \\ E=(0,2) \end{gathered}$