The composition ry-axisT(0, 2) is used to transform a triangle having a vertex at (0, 1). Describe how to find the coordinates of the image of this vertex.

Answer:

Perform the transformations from right to left. First, rotate the triangle 90 degrees. Negate the ycoordinate and then switch the coordinates to get (1, 0). Next, perform the translation up by adding 0 to the xcoordinate and 2 to the ycoordinate to get (1, 2). Finally, reflect this point over the yaxis by negating the xcoordinate to get (1, 2).