Question

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.

Answer 1

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 subtract 3 from x-values of coordinates

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

B=(-1-3,1)=(-4,1)

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

step-2:

y--->y-3

we subtract 3 from y-values

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

B=(-4,1-3)=(-4,-2)

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

now, we can draw graph

and we get