Which of the following is the algebraic representation for a translation 7 units left and 6 units up? A (x + 7, y - 6) B(x - 7, y + 6) C(x + 6, y - 7) D (x - 6, y + 7)

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a translation 7 units left and 6 units up?

7 units left (x ----> x - 7)
6 units up (y ----> y + 6)

answer
B(x - 7, y + 6)

A translation of 7 units left and 6 units up can be represented algebraically as: B(x - 7, y + 6) .

Algebraic Representation of Translation

  • Moving to the left (on the x-axis) means subtraction of a unit from the x-coordinate of the given point, while to the right means addition.
  • Moving upwards (on the y-axis) means addition of a unit to the y-coordinate of the given point, while downwards means subtraction.

Therefore, a translation of 7 units left and 6 units up can be represented algebraically as: B(x - 7, y + 6) .

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