Question

After a composition of transformations, the line segment from A(-2, 8) to B(6, 2) maps to the line segment C( -2, -12) to D(6, -6). Which of the following describes the composition that is applied to ⎯⎯⎯⎯⎯⎯⎯⎯AB¯ to obtain ⎯⎯⎯⎯⎯⎯⎯⎯⎯CD¯?

Answer 1

Given,

The coordinates of the point (-2, 8), (6,2), (-2, -12) and (6, -6).

Required

The composition required that is applied to to obtain .

The graph of the points are,

From the graph it is clear seen that

Reflect across the x axis and translate 4 units down.

Hence, Reflect across the x axis and translate 4 units down.