exponentials (easy)

[Nomvalt]

For f(x) = 2^x, sketch the graph of each of the following, labelling asymptotes where appropriate:
a)y=f(x+1)
e)y=f(3x)
g)y=2f(x - 1)+1
h)y=f(x-2)

my questions:

for a), how is f(x+1) = 2*2^x?
for e), how is f(3x) = 8^x?
for g) how is 2f(x - 1)+1 = 2^x + 1?
for h) how is f(x-2) = 2^x/4?

[ZachCharge]

(First solve , and leave the x)








Remember, and (reciprocals).

[ZachCharge]

How did you get from here:

to here:

Where did the 2 in the denominator come from?

As

[Nomvalt]

Makes sense.
Dang, probably shouldn't have posted too quickly. Ah well...