Find the coordinates of the image of (- 3, 4) under the transformation T- 2,3 A. (1, - 1)
B.(- 1, 1)
C.(5, - 7)
D.(- 5, 7)

D, (- 5, 7)

Step-by-step explanation:

Since the transformation is - 2, + 3 we just need to subtract 2 from the x value and add 3 to the y value.

- 3 - 2 = - 5

4 + 3 = 7

- 5, 7

g = (2, 2)

step-by-step explanation:

given the ratio is 1 : 1 then f is the midpoint of eg

let the coordinates of g = (x, y)

using the midpoint formula

(0 + x) = 1 ( multiply both sides by 2 )

0 + x = 2 ⇒ x = 2

similarly

(4 + y) = 3 ( multiply both sides by 2 )

4 + y = 6 ( subtract 4 from both sides )

y = 2

coordinates of g = (2, 2)