Chapter 12.4, Problem 32E

To determine

To find the quadrant in which $A\text{'}$ lies.

Answer to Problem 32E

The correct option is G 2^nd Quadrant.

Explanation of Solution

Given information:

  $\begin{array}{l}A=(1,2)\\ \text{Translation}=(x,y)\to (x-3,y+2)\end{array}$

Perform the indicated translation to evaluate the vertices of the image:

  $A\text{'}=(1-3,2+2)=(-2,4)$ [Substitute, $\left(x,y\right)=1,2$ ]

Since, the x coordinate is negative and y is positive, so, $A\text{'}$ lies in 2^nd Quadrant.

Therefore,

The correct option is G.