1. if the rule (x, y) → (x + 3, y – 3) is applied to the original triangle, give the coordinates of and draw the image. show your work for calculating the coordinates of the resulting image.

Firstly, we will find corner points

A=(0,3)

B=(-1,1)

C=(2,1)

(x, y) → (x + 3, y – 3)

step-1:

x--->(x+3)

so, we will add 3 from x-values of coordinates

A=(0+3,3)=(3,3)

B=(-1+3,1)=(2,1)

C=(2+3,1)=(5,1)

step-2:

y--->y-3

we subtract 3 from y-values

A=(3,3-3)=(3,0)

B=(2,1-3)=(2,-2)

C=(5,1-3)=(5,-2)

now, we can draw graph

and we get