Question

Which of the following statements best describes the effect of replacing the graph of y = f(x) with the graph of y = f(x) − 9?\

The graph of y = f(x) will shift up 9 units.
The graph of y = f(x) will shift down 9 units.
The graph of y = f(x) will shift left 9 units.
The graph of y = f(x) will shift right 9 units.

Answer 1

The graph f(x) - 9 will shift DOWN 9 units.

Answer 2

The graph of y = f(x) will shift down 9 units.

Explanation:

With the graph of y = f(x)-9 the graph of y=f(x) will shift down 9 units. For example:

if f(0) = 0, then y = f(0) -9 = -9.

if f(1) = 9, then y= f(1) - 9 = 9-9 = 0.

The same proccess with all x in the domain of f(x).