Question

the graph of f(x) = 2^(x + 4) shifts five units to the right when it is replaced with the graph of f(x) = 2^(x - k). What is the value of k?

Answer 1

@jim_thompson5910 can you help me with this one too? Its -5 right?

Answer 2

hint: to shift f(x) to the right 5 units, you replace x with x-5

so we need to find f(x-5)

Answer 3

Okay, \[f(x - 5) = 2^{ -5 +4}\]?

Answer 4

where did x go on the right side?

Answer 5

Wait a second.. I replaced it with -5, and I shouldn't have.

Answer 6

\[f(x -5) = 2^{x -5 + 4}\]

Answer 7

better

Answer 8

now simplify

Answer 9

\[-5+4 = -1\]\[f(x - 5) = 2^{x -1}\]
and I'm drawing a blank here.

Answer 10

could I add 5 on both sides?

Answer 11

compare 2^(x-1) to 2^(x-k)

Answer 12

Does that mean that the answer is 1?

Answer 13

it does

Answer 14

k = 1

Answer 15

My initial answer moved 9 units, not 5.

Answer 16

yeah a graph confirms it

with k = 5, you move over 9 units to the right

Answer 17

Thank you, I really appreciate your help. You're like the only person I understand when I'm on here.

Answer 18

you're welcome