110364
AssignmentMultiple Choice

Compositions

Question 110364 • High School Math 2 A

Figure BCDE was transformed using the composition rx-axis ◦ T2,2. If point B on the pre-image lies at (3, 4), what are the coordinates of B'' on the final image?

Answer
A
(5, 6)
B
(5, –6)
C
(1, 2)
D
(1, –2)

Explanation

Apply the composition from right to left. First, translate B by (2, 2): (3 + 2, 4 + 2) = (5, 6). Then reflect across the x-axis, which changes the sign of the y-coordinate, giving B'' = (5, –6), choice B.

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