Question

Type the coordinates of the points P, Q, and R for each of the following images under the translation defined by (x,y)-›(x-3,y + 2).

Answer 1

For us to be able to determine the original coordinates. Take note of the translation given:

(x,y) -› (x - 3,y + 2)

For P,

P (x, y) → P'(x - 3,y + 2) = P'(0, 0)

x - 3 = 0

x = 3

y + 2 = 0

y = -2

Therefore, the coordinates of point P is: P(3, -2)

For Q,

Q (x, y) → Q'(x - 3,y + 2) = Q' (-3, 1)

x - 3 = -3

x = -3 + 3

x = 0

y + 2 = 1

y = 1 - 2

y = -1

Therefore, the coordinates of point Q is: Q(0, -1)

For R,

R (x, y) → R'(x - 3,y + 2) = R' (-7, -7)

x - 3 = -7

x = -7 + 3

x = -4

y + 2 = -7

y = -7 - 2

y = -9

Therefore, the coordinates of point R is: R(-4,-9)