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10. describe the translation of the point to its image. (-8, -4)→(-3, 5…

Question

  1. describe the translation of the point to its image. (-8, -4)→(-3, 5)

a. 3 units left and 1 unit down
b. 11 units left and 1 unit down
c. 13 units right and 8 units up
d. 5 units right and 9 units up

Explanation:

Step1: Analyze x - coordinate change

The change in the x - coordinate is $\Delta x=-3-(-8)=-3 + 8=5$. A positive change in the x - coordinate means moving right.

Step2: Analyze y - coordinate change

The change in the y - coordinate is $\Delta y=5-(-4)=5 + 4=9$. A positive change in the y - coordinate means moving up.

Answer:

d. 5 units right and 9 units up