Question

What is the image point of (-5,-6) after a transformation T3,-2 and r y=x?

a) (-8, -8)
b) (-2, -4)
c) (-3, -8)
d) (-4, -4)

Answer 1

The transformation T3,-2 translates the point (-5,-6) to (-2,-8), and the reflection across the line y=x swaps the coordinates, resulting in the image point (-8,-2), which does not match the provided options.

Step-by-step explanation:

The original point given is (-5,-6) and the transformation T3,-2 means to translate the point by (3, -2). After this translation, the point is now (-2, -8). The next transformation is a reflection across the line y = x. After this reflection, the coordinates are swapped, resulting in the image point of (-8, -2). However, none of the provided options match this result, which suggests there might be an error in the question or the options given.