123456789johanoww3uo 123456789johanoww3uo
  • 13-11-2018
  • Mathematics
contestada

A transformation T : (x, y) → (x + 3, y - 1). Find the preimage of the point (4, 3) under the given transformation. (7, 4) (7, 2) (1, 2) (1, 4)

Respuesta :

parmesanchilliwack parmesanchilliwack
  • 10-06-2019

Answer:

The preimage of the given point is (1,4).

Step-by-step explanation:

Here, the given transformation is,

T : (x, y) → (x + 3, y - 1)

Where,  (x + 3, y - 1) is image under this transformation,

And, (x,y) is preimage,

Since, the image under this transformation is (4,3),

⇒ (x + 3, y - 1)=(4,3)

By Comparing,

x + 3 = 4 ⇒ x = 4 - 3 ⇒ x = 1

And, y - 1 = 3 ⇒ y = 3 + 1 = 4,

Hence, the preimage of the point (4, 3) under the given transformation is (1,4).

Last option is correct.

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