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 new x - coordinate

For a translation 1 unit to the left, subtract 1 from the x - coordinate of the original point. The original x - coordinate of $P$ is $- 2$. So, $x=-2 - 1=-3$.

Step2: Calculate new y - coordinate

For a translation 3 units down, subtract 3 from the y - coordinate of the original point. The original y - coordinate of $P$ is $-2$. So, $y=-2-3 = - 5$.

Answer:

$(-3,-5)$