Graphing exponential/ logarithmic functions

Diagnose your a in $\ y=a\cdot b^x$  

Diagnose your b in  $y=a\cdot b^x$  

Plug in two points: x=0 and x=1. (these are the easy points!)

Graph

What would happen to the x and y values in your coordinate if you added 1 to the whole equation. i.e.  $y=2\left(2\right)^x+1$  

What would happen to the x and y coordinate if you added 1 to just the exponent. i.e.  $y=2\left(2\right)^{\left(x+1\right)}$ 

Remember the basic flip from exponential to logarithmic.

Plug in your basic y values for  $y=\log_2\left(x\right)$  

Graph  $\log_{10}\left(x\right)$  

What would happen to the x and y values in your coordinate if you added 1 to the whole equation. i.e.  $\log_{10}\left(x\right)+1$  

What would happen to the x and y coordinate if you added 1 to just the exponent. i.e.  $\log_{10}\left(x+1\right)$