1. Pick up a book, reflect it in its vertical axis and then in its horizontal axis, and observe that it is now rotated 180 degrees from its original position about the centre of the book.
A) If you repeat the process but reflect the book first in its horizontal axis and then its vertical axis. Would the changed order change the result? Why/Why not?
B) Why does the graph y = -f(-x) is the graph of y = f(x) rotated by 180 degrees about the origin?
A) If you repeat the process but reflect the book first in its horizontal axis and then its vertical axis. Would the changed order change the result? Why/Why not?
B) Why does the graph y = -f(-x) is the graph of y = f(x) rotated by 180 degrees about the origin?