Question

Given a polynomial function f(x), describe the effects on the y-intercept, regions where the graph is increasing and decreasing, and the end behavior when the following changes are made. Make sure to account for even and odd functions.
A.) When f(x) becomes f(x) + 2
B.) When f(x) becomes - 1/2 • f(x)

Answer 1

A.  When f(x) becomes g(x) = f(x) + 2, the graph of f(x) is shifted upward 2 units.

B  The graph of f(x) is reflected in the x-axis and then vertically compressed by a factor of 1/2.