What is the image point of left bracket, minus, 7, comma, 0, right bracket(−7,0) after a translation left 4 units and up 1 unit

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02-03-2024
Mathematics

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What is the image point of left bracket, minus, 7, comma, 0, right bracket(−7,0) after a translation left 4 units and up 1 unit

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kendallsykes10p4b3jl kendallsykes10p4b3jl · Answer 1 · 2024-03-02T00:57:13+01:00

Answer: (-11, 1)

Step-by-step explanation: To identify the image of the preimage (-7,0) after a translation left 4 units and up 1 unit, we must apply addition and subtraction given that a translation left signifies subtraction, and a translation right signifies addition:

[tex](-7) - 4 = -11[/tex]

Thus, the x-coordinate of the image is -11.

[tex]0 + 1 = 1[/tex]

The y-coordinate of the image is 1.

Therefore, we find the image of the translation to be (-11, 1).