Question

what is the image point of (0, 2) after a translation left 5 units and down 1 unit?

Explanation:

Step1: Calculate new x - coordinate

For a translation left 5 units, we subtract 5 from the x - coordinate of the original point. The original x - coordinate is 0, so \(0 - 5=-5\).

Step2: Calculate new y - coordinate

For a translation down 1 unit, we subtract 1 from the y - coordinate of the original point. The original y - coordinate is 2, so \(2-1 = 1\).

Answer:

\((-5,1)\)