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.

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

Step-by-step explanation:

The parent function is y = f(x)

The transformation rule is:

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.

4sqrt5

step-by-step explanation:

the base has dimensions of 8 x 4, so the diagonal is 64 + 16 square rooted or 4sqrt5.