Question

Write the equation of an exponential function that has a horizontal asymptote at y=3, and a y-intercept at (0,4) and passes through the point (-1,6).

Please explain how to go through this, i dont want only answers

Answer 1

You probably want to start with something of form \[Ae^{Bt}+C\]
Where you want to use the given information to solve for the unknown parameters.
To have a horizontal asymptote you'll probably want to have B<0

Answer 2

...what

Answer 3

i already have +3 at the end, dont know what else to add...

Answer 4

You have y=Ae^(-Bx)+3. Now plug in your points into these equations and solve for B and A

Answer 5

6=Ae^b+3