The rule as a mapping for the translation of a rectangle is (x, y) → (x – 2, y + 7). Which describes this translation?
2 answers:
Answer:
This indicates a movement of 2 units to the left and 7 units upward.
Detailed explanation:
The fundamental principle of translation is
.... (1)
When a>0, the figure shifts a units to the right, while if a<0, it moves a units to the left.
For b>0, the figure goes b units up, and for b<0, it descends b units down
The specified rule of translation reads
.... (2)
By comparing (1) with (2), we deduce that
a = -2 < 0, indicating a movement of 2 units to the left.
b = 7 > 0, indicating a movement of 7 units upwards.
Thus, the stated rule reflects a translation of 2 units left and 7 units up.
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