In: Advanced Math
Please solve this with only transformations (I.E. Translation matrices, Reflection matrices, Rotation matrices. You need to use matrices (linear algebra). Please only do this if you know what I mean when I say "transformations using matrices."
A 2-D polygon has the following vertices in (x, y): A (2, 1), B (1, 2), C (2, 3), D (3, 3), E (4, 2), and F (3, 1). The polygon is taken through a set of 3 transformations in the given order: 1. Reflection about the line x=4 2. Translation by -3 in x direction. 3. Rotation counter clockwise about the point (2.5, 2) by 180 degrees . Determine the final coordinates.