Question

graph the image of k(3, 6) after a translation 10 units left and 5 units down.

Explanation:

Step1: Calculate new x - coordinate

For a translation 10 units left, subtract 10 from the original x - coordinate. The original x - coordinate of point K is 3. So, $x=3 - 10=-7$.

Step2: Calculate new y - coordinate

For a translation 5 units down, subtract 5 from the original y - coordinate. The original y - coordinate of point K is 6. So, $y=6 - 5 = 1$.

Answer:

The image of point K(3, 6) after the translation is K'(-7, 1).