Question

graph the image of z(3, -4) after a translation 8 units left and 6 units up.

Explanation:

Step1: Calculate new x - coordinate

The original x - coordinate of point Z is 3. Moving 8 units left means subtracting 8 from the x - coordinate. So, $x = 3-8=-5$.

Step2: Calculate new y - coordinate

The original y - coordinate of point Z is - 4. Moving 6 units up means adding 6 to the y - coordinate. So, $y=-4 + 6=2$.

Answer:

The image of point Z(3, - 4) after the translation is Z'(-5, 2). To graph it, locate the point (-5, 2) on the coordinate plane where the x - value is - 5 and the y - value is 2.