Question

plot the image of point q under the translation (x,y)→(x - 3,y + 4).

Explanation:

Answer:

The point \(Q\) has coordinates \((3,- 2)\). Under the translation \((x,y)\to(x - 3,y + 4)\), the new \(x\)-coordinate is \(3-3 = 0\) and the new \(y\)-coordinate is \(-2 + 4=2\). So the image of point \(Q\) is the point \((0,2)\) (but we are not asked to actually plot it in the text - just find the coordinates).