Question

type the coordinates of the images s, r, and t for each of the following points under the translation defined by (x,y)→(x + 3, y - 8).
a) s(7,14) b) r(-8, -3) c) t(a,b)
a) s(7,14)→s (10,6) (type an ordered pair.)
b) r(-8, -3)→r \square (type an ordered pair.)

Explanation:

Step1: Apply the translation rule to \(x\) - coordinate

For point \(R(-8,-3)\), the \(x\) - coordinate of the image \(R'\) is obtained by adding \(3\) to the \(x\) - coordinate of \(R\). So, \(x'=-8 + 3\).

$$x'=-5$$

Step2: Apply the translation rule to \(y\) - coordinate

The \(y\) - coordinate of the image \(R'\) is obtained by subtracting \(8\) from the \(y\) - coordinate of \(R\). So, \(y'=-3-8\).

$$y'=-11$$

Answer:

\((-5,-11)\)