Use a graphing utility to graph f and g in the same viewing window. What is the relationship between the two graphs? Use the Binomial Theorem to write the polynomial function g in standard form.
1. f (x) = x3 − 4x
g(x) = f (x + 4)
2. f (x) = −x4 + 4x2 − 1
g(x) = f (x − 3)