someone please help me.
The function f(x) is shown below:
f(x) = (5)x - 1
The function f(x) is shifted to the right by 13 units. Which of the following best represents the new function?
f(x) = (5)x + 13
f(x) = (5)x + 12
f(x) = (5)x - 14
f(x) = (5)x - 13
As written, f(x) = 5x-1
So, you will have a shifted f as
g(x) = f(x-13) = 5(x-13)-1 = 5x-66
If, however, your function is
f(x) = 5(x-1), then the shifted function is
g(x) = f(x-13) = 5((x-13)-1) = 5(x-14)
You gotta learn how to use parentheses!!
To shift a function to the right, you need to add the desired units of shift to the x variable. So, in this case, if you want to shift the function f(x) by 13 units to the right, you would add 13 to x.
The original function f(x) = (5)x - 1. To shift it to the right by 13 units, you would modify the function as follows:
f(x) = (5)(x + 13) - 1
Simplifying this expression, you get:
f(x) = (5)x + 65 - 1
f(x) = (5)x + 64
Therefore, the new function that represents shifting f(x) to the right by 13 units is:
f(x) = (5)x + 64
So, none of the provided options ( f(x) = (5)x + 13, f(x) = (5)x + 12, f(x) = (5)x - 14, f(x) = (5)x - 13 ) are correct.