A triangle is drawn on the coordinate plane. It is translated 4 units right and 3 units down. Which rule describes the translation?

(x, y) → (x + 3, y – 4)
(x, y) → (x + 3, y + 4)
(x, y) → (x + 4, y – 3)
(x, y) → (x + 4, y + 3)

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Answer:

c ) (x, y) → (x + 4, y - 3)

Step-by-step explanation:

The translated triangle is moved 4 units to the right, which is a movement along the x-axis. Moving right on the x-axis, the values become more positive, therefore, 4 units should be added to the x-coordinate.

The triangle is also moved down by 3 units, which is a movement along the y-axis. Downward movement on this axis, results in more negative values, meaning that 3 should be subtracted.

Another way to write the given rule is (x, y) → (x + 4, y - 3) .

Given that,

  • There are the original (x,y) coordinates that are being moved to the left-hand side by 3 units and go up by 4 units.
  • That means the 3 should be in minus while the 4 should be in plus.  

Based on the information, we can conclude that another way to write the given rule is (x, y) → (x + 4, y - 3) .

Hence, the other options are wrong.

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