Question

point q is the image of q(-7, -6) under the translation (x,y)→(x + 12,y + 8). what are the coordinates of q?

Explanation:

Step1: Calculate the x - coordinate of Q'

Given \(x=-7\) and the translation rule \(x\to x + 12\). So, \(x'=-7 + 12=5\).

Step2: Calculate the y - coordinate of Q'

Given \(y=-6\) and the translation rule \(y\to y + 8\). So, \(y'=-6+8 = 2\).

Answer:

\((5,2)\)