Chapter 12.7, Problem 6E

To determine

To graph: draw a polygon

Explanation of Solution

Given information: the vertices of polygon are $X\left(-1,2\right),Y\left(2,1\right)\text{ ,Z}\left(-1,-3\right)$ and the scale factor is $3$

Graph: first draw a polygon with the vertices $X\left(-1,2\right),Y\left(2,1\right)\text{ ,Z}\left(-1,-3\right)$ and then to dilate the polygon $XYZ$ ,multiply $x$ and $y$ coordinates of each vertices by $3$

Original	Image
$(x,y)$	$\left(3x,3y\right)$
$X(-1,2)$	$P(-3,6)$
$Y\left(2,1\right)$	$Q(6,3)$
$Z\left(-1,-3\right)$	$R(-3,-9)$

Finally draw a polygon $PQR$ , as shown below

Interpretation: Hence, the vertices of image after dilation are $P\left(-3,6\right),Q\left(6,3\right)\text{ ,R}\left(-3,-9\right)$