Question

Triangle XYZ is reflected off the Y-Axis. What algebraic representation explains the effect of this transformation?

Options:
a) (x, y) -> (-x, -y)
b) (x, y) -> (x, -y)
c) (x, y) -> (-y, x)
d) (x, y) -> (-x, y)

Answer 1

The effect of reflecting triangle XYZ off the Y-Axis is given by the algebraic representation (x, y) -> (-x, y). This reflects the triangle horizontally to the left side of the coordinate system.

Step-by-step explanation:

The correct algebraic representation that explains the effect of reflecting triangle XYZ off the Y-Axis is (x, y) -> (-x, y). This transformation reflects the triangle horizontally to the left side of the coordinate system. In this transformation, the x-coordinate remains the same, but the sign is changed to the opposite.