Chapter 9, Problem 6MCQ

To determine

To graph the image after specified transformation.

Explanation of Solution

The vertices of triangle are $A(0,0),B(2,1)$ and $C(1,-3)$ transformation along $(3,-1)$

Calculation:

To reflect the figure transformation along $(3,-1)$ add their x-coordinates by $3$ and y coordinate by $-1$ . In symbols $(x,y)\to (x+3,y-1)$ , so the image vertices are-

  $\begin{array}{l}A(0,0)\to A\text{'}(3,-1)\\ B(2,1)\to B\text{'}(5,0)\\ C(1,-3)\to C\text{'}(4,-4)\end{array}$