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

The translation is (x, y) -> (x - 5.2, y + 1.4). Solve (x - 5.2, y + 1.4) = (-2, 2):

x = -2 + 5.2 = 3.2, y = 2 - 1.4 = 0.6.

So X = (3.2, 0.6).