Question

If T: (x, y) → (x - 3, y + 2), then T -1: (x,y) → _____.

Answer 1

Answer:

(x + 3, y - 2)

Step-by-step explanation:

we know that

The rule of the transformation T is equal to

T: pre-image → image

T: (x, y) → (x',y')

T: (x, y) → (x - 3, y + 2)

so

x'=x-3 ----> x=x'+3

y'=y+2 ----> y=y'-2

The rule of the inverse of transformation T -1 is equal to

T-1: image → pre-image

T-1: (x', y') → (x,y)

T-1: (x', y') → (x'+3, y'-2)