Question

type the coordinates of the images p, q, and r for each of the following points under the translation defined by (x,y)→(x + 7, y - 8).
a) p(0,0) b) q(-5,2) c) r(-8, -8)
a) p(0,0)→p (type an ordered pair.)

Explanation:

Step1: Apply the translation rule to the x - coordinate

For the point \(P(0,0)\), the x - coordinate of the image \(P'\) is \(x + 7\). Substitute \(x = 0\) into \(x+7\), we get \(0 + 7=7\).

Step2: Apply the translation rule to the y - coordinate

The y - coordinate of the image \(P'\) is \(y - 8\). Substitute \(y = 0\) into \(y - 8\), we get \(0-8=-8\).

Answer:

\((7,-8)\)