Question

give 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 \boxed{(10,6)} (type an ordered pair.)
b) r(-8,-3)→r \boxed{(-5,-11)} (type an ordered pair.)
c) t(a,b)→t square (type an ordered pair.)

Explanation:

Step1: Apply translation rule to point \(S(7,14)\)

For \(x\)-coordinate: \(7 + 3\).
For \(y\)-coordinate: \(14-8\).

Step2: Apply translation rule to point \(R(-8,-3)\)

For \(x\)-coordinate: \(-8 + 3\).
For \(y\)-coordinate: \(-3-8\).

Step3: Apply translation rule to point \(T(a,b)\)

For \(x\)-coordinate: \(a + 3\).
For \(y\)-coordinate: \(b-8\).

Answer:

a. \((10,6)\)
b. \((-5,-11)\)
c. \((a + 3,b - 8)\)