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point q is the image of q(-7, -6) under the translation (x, y)→(x + 12,…

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 x - coordinate of Q'

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

Step2: Calculate y - coordinate of Q'

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

Answer:

\((5,2)\)