Question

point ( p ) is the image of ( p(-2,-2) ) under a translation by 1 unit to the left and 3 units down. what are the coordinates of ( p )?

Explanation:

Step1: Calculate the new x - coordinate

For a translation to the left, we subtract from the x - coordinate.
The original x - coordinate is \(x=-2\). Translating 1 unit to the left: \(x'=-2 - 1=-3\)

Step2: Calculate the new y - coordinate

For a translation down, we subtract from the y - coordinate.
The original y - coordinate is \(y = - 2\). Translating 3 units down: \(y'=-2-3=-5\)

Answer:

\((-3,-5)\)