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: Calculate the x - coordinate of the image

For the x - coordinate, use the rule \(x\to x + 2\). Given \(x = 4\), then \(x'=4 + 2\).

$$x'=6$$

Step2: Calculate the y - coordinate of the image

For the y - coordinate, use the rule \(y\to y-8\). Given \(y=-5\), then \(y'=-5-8\).

$$y'=-13$$

Answer:

\((6,-13)\) (corresponding to the fourth option)