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A linear transformation is defined by T: (x, y) \(\to\) (-x + y, -4y). Find the image, ...

A linear transformation is defined by T: (x, y) \(\to\) (-x + y, -4y). Find the image, Q`, of Q(-3, 2) under T
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  • A Q`(5, -8)
  • B Q`(-8, 5)
  • C Q`(5, -3)
  • D Q`(-5, -8)
Correct Answer: Option A
Explanation:
Q(3 -3, 2) = [-(-3) + 2, -4(2)]
= (3 + 2, -8)
= (5, -8)

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