Question

The functions f(x) = 32x + 8 and g(x) are described below:
f(x) = 32x + 8
g(x) = 32x - 9

The graph of g(x) is obtained by shifting down the graph of f(x) by ______ units?

Answer 1

Notice that to change f(x) into g(x) all we have to do to f(x) is subtract 17
f(x) - 17 = 32x + 8 - 17 = 32x - 9 = g(x)

Answer 2

When you subtract a number from a function, it shifts it down by that many units.

Answer 3

Thank you so much! I am checking my son's algebra test and I have forgotten everything. He got that one right!