Exercise 25 Page 605

We want to draw the image of FUN after a dilation with center O(0,0) and scale factor 12. We are told that the vertices of the polygon are F(-4,0), U(5,0), and N(- 2,- 5). Let's start by drawing FUN on a coordinate plane.

A dilation by a scale factor of 12 can be written as D_(12). Since the center of dilation is the origin O(0,0), we can find the image of each of the vertices of the triangle by multiplying their coordinates by the scale factor 12. Let's do it!

FUN	F'U'N'
F(-4,0)	F'(-4* 1/2, 0* 1/2) ⇒ F'(-2,0)
U(5,0)	U'(5* 1/2, 0* 1/2) ⇒ U'(5/2,0)
N(- 2,- 5)	N'(- 2* 1/2, - 5* 1/2) ⇒ N'(- 1,- 5/2)

Finally, we will plot and connect the obtained vertices to draw D_(12)( FUN)= F' U' N'.