TABLE OF CONTENTS

Graph the function y = 2^{x} + 1.

This will be like the function y = 2^{x}, but each y value will be 1 bigger than in that function. y is a master of one-upsmanship.

We take the graph of y = 2^{x} and move it up by one:

Since we've moved the graph up by 1, the asymptote has moved up by 1 as well. It used an asymptote bag to move all its things.

The asymptote is now the line y = 1.

Graph the function y = -2^{x} + 1.

This will be like the function y = -2^{x}:

except we'll move it up by 1:

This graph looks a bit different from the others, but the shape is still the same sort of curve.