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Hello! I don't understand how to do this question Triangle XYZ is located at X (−2, 1), Y (−4, −3), and Z (0, −2). The triangle is then transformed using the rule (x−1, y+3) to form the image X'Y'Z'. What are the new coordinates of X', Y', and Z'?

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ANSWER

EXPLANATION

Given that

X (-2, 1)

Y (-4, -3)

Z (0, -2)

The transformation rule of the triangle is given as

(x, y) ----------------> (x - 1, y + 3)

From, the given transformation rule, we can now find the new coordinates

X (-2, 1) --------------> X' (-2 -1, 1 + 3)

X(-2, 1 ----------------> X' (-3, 4)

Y(-4, -3) -----------------> Y'(-3-1, -3+1)

Y(-4, -3)-------------------> Y' (-4, -2)

Z(0, -2) --------------------Z'(0-1, -2+3)

Z(0, -2) -------------------> Z'(-1, 1)

Therefore the new coordinates of the triangles are

X' (-3, 4)

Y' (-4, - 2)

Z' (-1, 1)

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