The graph of f(x) = (0.5)x is replaced by the graph of g(x) = (0.5)x - k. If g(x) is obtained by shifting f(x) down by 7 units, the value of k is ________.

Question

undeadknight26 · Answer

@ash2326 @skullpatrol please help

solomonzelman · Answer

g(x) = (0.5)x - k   is shifted k units down from   f(x) = (0.5)x

undeadknight26 · Answer

oh my bad its:
g(x) = (.5)^x
and 
f(x) = (.5)^x.

undeadknight26 · Answer

WOuld you just plug in 7 for x?

solomonzelman · Answer

If g(x) is obtained by shifting f(x) down by 7 units
meaning that 
g(x)=(0.5)~~~~~7 units to the bottom from f(x)-k?

I can't explain but k=-7

it's g(x)=f(x)-(-7)
so the k=7.

The question is corrected can you rephrase it?

undeadknight26 · Answer

so the answer is 7?

solomonzelman · Answer

It's -7 

f(x)-k=f(g)-7
the original function of f(x) is obtained by shifting f(g) 7 units down, or by -7
so x=7

YES!

undeadknight26 · Answer

oh ok thank you solo!

solomonzelman · Answer

Anytime!

anonymous · Answer

@undeadknight26  do you remember if you got this right?

undeadknight26 · Answer

if solo showed me it...its right :)

anonymous · Answer

ok

anonymous · Answer

thanks