The sequence of transformation that maps ABC to A'B"C" is
- A rotation 90 degrees counterclockwise about the origin
- A translation 2 units to the right
How to verify the transformations
The transformation rule for rotation, 90 degrees counterclockwise about the origin is:
A(x, y) becomes A'(-y ,x).
Applying this rule to a reference point say A
A (-3, 4) becomes (-4, -3)
A horizontal transformation of units to the right is achieved by adding 2 to the x-coordinate
A' (-4, -3) becomes A''(-2, -3)
Comparing to the image (graph) shows that the sequence of transformations is accurate