Exponential Functions & Vertical Shifts
 
Click on the graph below to see the graph of  y = e^x  move from five units down to five units up in 100 steps, i.e., 0.1 unit at a time. What we want to appreciate in this animation is how little the moving graph changes its location in relation to the original graph as it is shifted vertically.
 
Feel free to use any of the zooming tools on the right. Reload the page to reset.