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

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

anonymous · Answer

@tkhunny @hartnn @ganeshie8 @phi

ganeshie8 · Answer

f(x) = 2^(x + 4)

to shift the graph of f(x) to right by 6 units :   simply replace `x` by `x-6`

anonymous · Answer

so the answer is 6?

ganeshie8 · Answer

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

cwrw238 · Answer

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

anonymous · Answer

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

ganeshie8 · Answer

f(x) = 2^(x + 4)

replace `x` by `x-6` and tell me wat do u get ?

anonymous · Answer

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

ganeshie8 · Answer

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

ganeshie8 · Answer

k = ?

anonymous · Answer

2?

ganeshie8 · Answer

thats it !

anonymous · Answer

thanks :)

ganeshie8 · Answer

yw :)