The coordinates of the preimage will be at A(-2.5, 5.5), B(-2.5, 2.5) and C (-6.5, 2.5)
What is translation?
Translation is a transformation technique for changing the size and position of an object on the x-y plane.
From the given diagram, the coordinate A'B'C' is given as:
A' = (-1, 2)
B' = (-1, -1)
C' = (-5, -1)
If the triangle ABC was translated according to the rule (x, y) = (x + 1.5, y-3.5) to create the image A'B'C'
A (x + 1.5, y-3.5) = (-1, 2)
x + 1.5 = -1
x = -2.5
y - 3.5 = 2
y = 5.5
Hence A = (-2.5, 5.5)
B = (x + 1.5, y-3.5) = (-1, -1)
x + 1.5 = -1
x = -2.5
y - 3.5 = -1
y = 2.5
Hence B = (-2.5, 2.5)
C (x + 1.5, y-3.5) = (-5, -1)
x + 1.5 = -5
x = -6.5
y - 3.5 = -1
y = 2.5
Hence C = (-6.5, 2.5)
Hence the graph that shows the pre image ABC is attached below
Learn more on translation here: https://brainly.com/question/12861087
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