Question

On a coordinate plane, a quadrilateral has points W prime (negative 4, 1), X prime (negative 2, 2), Y prime (0, negative 3), and Z prime (negative 4, negative 4). The image of a figure is shown. What are the coordinates of X in the pre-image of the figure if the rule that created the image was T–5.2, 1.4(x, y)? X =

Answer 1

(3.2, 0.6)

Explanation:

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Answer 2

(3.2, 0.6)

Explanation:

`T_(-5.2, 1.4)` means a translation of (x, y) → (x - 5.2, y + 1.4)

Suppose X has coordinates (a, b), after the translation is applied, X' has coordinates (a - 5.2, b + 1.4). X' is located at (-2, 2), therefore:

a - 5.2 = -2

a = -2 + 5.2

a = 3.2

b + 1.4 = 2

b = 2 - 1.4

b = 0.6