Question

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

2

4

6

10

Answer 1

@tkhunny @hartnn @ganeshie8 @phi

Answer 2

f(x) = 2^(x + 4)

to shift the graph of f(x) to right by 6 units : simply replace `x` by `x-6`

Answer 3

so the answer is 6?

Answer 4

close, but no.
we need to find the value of \(k\), not how many units to shift

Answer 5

given graph of f(x)
shifting this a units to the right gives
f(x - a)

Answer 6

wait, so how do I find the value of k?

Answer 7

f(x) = 2^(x + 4)

replace `x` by `x-6` and tell me wat do u get ?

Answer 8

I get f(x) = 2^(x-2)

Answer 9

Excellent ! compare your result with the given second function :
f(x) = 2^(x - k)

Answer 10

k = ?

Answer 11

2?

Answer 12

thats it !

Answer 13

thanks :)

Answer 14

yw :)