Chapter 12.5, Problem 35E

To determine

To graph: the $\Delta JKL$ with vertices $J\left(0,0\right),K\left(3,0\right),L\left(3,-5\right)$ ,and find coordinates of vertices of the image of $\Delta JKL$ after the translation $\left(x,y\right)\to \left(x-6,y-2\right)$ .

Explanation of Solution

Given : the verticesprovided in the question,

  $J\left(0,0\right),K\left(3,0\right),L\left(3,-5\right)$

Graph:

Interpretation : to translate according $\left(x,y\right)\to \left(x-6,y-2\right)$ subtract x -coordinate by 6 and y -coordinate by 2.

Original image

  $\begin{array}{l}\left(x,y\right)\to \left(x-6,y-2\right)\\ J\left(0,0\right)\to A\left(-6,-2\right)\\ K\left(3,0\right)\to B\left(-3,-2\right)\\ L\left(3,-5\right)\to C\left(-3,-7\right)\end{array}$