Question

Finding Coordinates of a Translation
Triangle XYZ has coordinates X(2, 4), Y(-3, 4), and Z(-3,1). If the triangle is translated using the rule
(x, y) → (x - 2, y + 1), what are the coordinates of Y'?
Y'(-5,5)
OY'(0,5)
Y'(-5,2)
Y'(-1,3)

Answer 1

Should be the first one, Y’(-5,5). :)

Answer 2

Transformation involves changing the position of a shape

The coordinates of Y' are (-5, 5)

The vertices are given as:

X(2, 4), Y(-3, 4), and Z(-3,1)

The transformation rule is given as:

(x, y) → (x - 2, y + 1)

For vertex Y, we have:

(-3, 4) → (-3 - 2, 4 + 1)

Simplify

(-3, 4) → (-5, 5)

Hence, the coordinates of Y' are (-5, 5)

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