Question

Use the graph of f to describe the transformation that yields the graph of g.

f (x) = 3^x,      g (x) = 3^x + 1

Answer 1

Step 1:

The exponential functions are and .

The exponential function is an increasing function.

The graph of contains the points .

The function is an increasing function and the graph of  contains the points .

Step 2:

Graph:

Draw the coordinate plane.

Plot the points of .

Obtain the graph of from shift up by  one unit.

Solution:

The graph of is obtained by shifting the graph of up one unit.