I'm torn between -3 and 3, please help.

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 3 units, the value of k is ________.

Question

I'm torn between -3 and 3, please help.

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 3 units, the value of k is ________.

anonymous · Answer

@undeadknight26

anonymous · Answer

I'm thinking it is just 3

campbell_st · Answer

use this site to check your choices... https://www.desmos.com/calculator it allows you to better understand the shifts graph the curve f(x) and then your g(x) and see what happens

anonymous · Answer

Doesn't really help, imo

campbell_st · Answer

ok...

anonymous · Answer

Sorry!

anonymous · Answer

But I don't think that really helps in this type of problem

anonymous · Answer

Nevermind, It's 3, I guess the graph kinda did help :D

anonymous · Answer

Because if it were -3, the graph would go upward.

campbell_st · Answer

well type in 

y = (0.5)^x

then 

y = (0.5)^x - 3

you'll see 2 graphs... different colours... and you should be able to notice a difference. 

I just did it and it worked for me

anonymous · Answer

But with positive 3 it goes down

anonymous · Answer

Thanks :>

campbell_st · Answer

if you want + 3

do it as 

y = (0.5)^(x + 3)