Question

Use a graphing utility to graph the exponential function.

y = 3^(x - 2) + 1

Answer 1

Step 1:

The exponential function

Graph the parent  function are

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:

Draw the coordinate plane.

Plot the points of and connect the curve.

Replace  by .

Use above coordinate pairs graph the .

Step 3:

Next transformation is shift up by one unit.
Graph of

Solution:

.