First slide

Cartesian plane

Question

The image of the point (3, –8) under the transformation (x, y) → (2x + y, 3x – y) is

Moderate

A

(–2, 17)
B

(2, 17)
C

(–2, –17)
D

(2, –17)

Solution

Let (x₁, y₁) be the image of the point (x, y) under the given transformation.
Then, x₁ = 2x + y = 2 (3) – 8 = –2
and y₁ = 3x – y = 3 (3) – (–8) = 17
Hence, the image is (–2, 17).

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