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) - 11?

The graph of y = f(x) will shift up 11 units.

The graph of y = f(x) will shift right 11 units.

The graph of y = f(x) will shift left 11 units.

The graph of y = f(x) will shift down 11 units.

Answer 1

The graph of y = f(x) will shift down 11 units.

Explanation:

The parent function is y = f(x)

The transformation rule is:

• If the parent function f(x) is translated 'a' units down then the equation of the parent function become f(x)-a.

Here the equation of the translated function is y = f(x) - 11. It means that

a = 11

And from the above rule, the function f(x) is translated 11 units down.

Last option is correct.

Answer 2

the answer is The graph of y = f(x) will shift down 11 units.