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

Answer:

(3.2, 0.6)

Step-by-step 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

Answer 2

Answer:

(3.2, 6.0)

Step-by-step explanation: