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.
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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