Question

What is the image of the point (-5 2) under the translation t 3 -4

Answer 1

(-2, -2)

Explanation:

To find the image of the point (-5, 2) under the translation t(3, -4), we simply add the translation vector (3, -4) to the point (-5, 2).

`\sf (-5+3, 2 +(-4)) = (-2, -2)`

Therefore, the image of the point (-5, 2) under the translation t(3, -4) is the point (-2, -2).

Answer 2

(-2, -2)

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The translation vector, t = 3, -4, means that we need to move 3 units to the right and 4 units down.

So, to find the image of (-5, 2), we add 3 to the x-coordinate and subtract 4 from the y-coordinate:

• New x-coordinate = -5 + 3 = -2
• New y-coordinate = 2 - 4 = -2

Therefore, the image of the point (-5, 2) under the translation t = 3, -4 is (-2, -2).