Question

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)

Answer 1

hint: to shift f(x) to the right by 13 units, you have to replace x with x+13. So you need to evaluate f(x+13)

Answer 2

So the answer is C?

Answer 3

f(x) = (5)^(x - 1)
so f(x+13)=(5)^(x+13 - 1)=(5)^(x+12)
it's B :)

Answer 4

Thanks :)

Answer 5

isn't it negative when you shift to the right? Then the answer has to be C instead

Answer 6

when ur shifting to the left then it would be negetive @alias

Answer 7

@RosieF You were right initially. It's C.

Answer 8

Left shift is positive. Right shift is negative.

Answer 9

@sidsiddhartha I'm pretty sure I'm correct. But either way, if you're still confused, just come up with an example, then test a few points to see for yourself