Working with exponential functions

[Razzles]

Homework Statement

Write the function for each graph described. Exponential function with y-intercept of 3 and horizontal asymptote of y=0

Homework Equations

None

The Attempt at a Solution

I used the base equation f(x)=a^(x+h) + k to get f(x) = 3^(x+1)

Was this right? Also, I used guess and check to solve this is there a better thought process I could use?

 

[rock.freak667]

Well that satisfies the conditions. You could have also had f(x)=3e^x.