Question

triangle abc is translated according to the rule (x, y) → (x + 2, y - 8). if the coordinates of the pre - image of point b are (4, - 5), what are the coordinates of b?
(2, 3)
(1, - 9)
(- 3, - 4)
(6, - 13)

Explanation:

Step1: Identify the x - coordinate rule

The rule for x - coordinate is \(x\to x + 2\). Given \(x = 4\), then \(x'=4 + 2\).
\(x'=6\)

Step2: Identify the y - coordinate rule

The rule for y - coordinate is \(y\to y - 8\). Given \(y=-5\), then \(y'=-5-8\).
\(y'=-13\)

Answer:

D. \((6, - 13)\)