Chapter 6.9, Problem 23SR

To determine

To find: The graphs of given figure with its vertices and of its image after a dilation by scale factor 3 about origin.

Answer to Problem 23SR

Graphs of original figure and its image are shown as under:

  

Explanation of Solution

Given information: 

A figure with vertices $\left(-2,1\right),\left(1,2\right)$ and $\left(-3,2\right)$ that to be dilated by a scale factor over origin.

Concept used:

In dilation, each original x and y coordinate is multiplied by that given scale factor to get the new coordinates of the imaged figure.

Calculation: New corresponding vertices of the imaged figure are:

  $\begin{array}{l}(-2\times 3,1\times 3)=(-6,3)\\ (1\times 3,2\times 3)=(3,6)\\ (3\times 3,-2\times 3)=(9,-6)\end{array}$

And then these coordinates along with original coordinates are graphed in XY plane.

Conclusion:

On plotting all concerned vertices, both graphs are shown as under: