Question

graph the image of k(-5, 6) after a translation 2 units left and 2 units down.

Explanation:

Step1: Translate x - coordinate

For a translation 2 units left, subtract 2 from the x - coordinate of the point $K(-5,6)$. The original x - coordinate is $x=-5$, so the new x - coordinate is $x'=-5 - 2=-7$.

Step2: Translate y - coordinate

For a translation 2 units down, subtract 2 from the y - coordinate of the point. The original y - coordinate is $y = 6$, so the new y - coordinate is $y'=6-2 = 4$.

Answer:

The image of the point $K(-5,6)$ after the translation is $K'(-7,4)$.