Question

What effects does adding a constant have to an exponential function?

Answer 1

It depends where you introduce constant 

Exponential function: f(x) = e^x 

y = e^x + c ----> shift function up c units 
y = e^(x−c) ----> shift function right c units 
y = e^(cx) ------> dilates function horizontally by factor of 1/c 
y = c e^x -------> dilates function vertically by factor of c