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 of y = f(x) will shift to the right 9 units.

Explanation:

Despite some lack of clarity, because usually this equality is in terms of x and y. Let's do it.

Taking f(x) as its parent function in other words

`y=f(x)`

Testing some values:

x|y

0|0

1|1

2|2

Adding to the function -9 units is to shift it to the right

`y=f(x-9)`

Testing some values to certify:

x|y

-9|0-9

-8|1-9

-7|2-9