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 (7, -8) (type an ordered pair )
b) q(-5,2)→q (2, -6) (type an ordered pair )
c) r(-8, -8)→r□ (type an ordered pair.)

Explanation:

Step1: Apply the translation rule to the x - coordinate

For point \(R(-8,-8)\), using the translation \((x,y)\to(x + 7,y-8)\).
The new x - coordinate is \(x'=-8 + 7\).

$$x'=-1$$

Step2: Apply the translation rule to the y - coordinate

The new y - coordinate is \(y'=-8-8\).

$$y'=-16$$

Answer:

\((-1,-16)\)