Begin by graphing

f(x)=3^x.

Then use transformations of this graph to graph the given function. Be sure to graph and give the equation of the asymptote. Use the graph to determine the function's domain and range. If applicable, use a graphing utility to confirm your hand-drawn graphs.

h(x)=3^x+1+1

Determine the transformations that are needed to go from

f(x)=3^x

to the given function. Select all that apply.

A.

stretch vertically

B.

shift f(x)

1

unit

to the left

C.

stretch horizontally

D.

reflect about the x-axis

E.

shift f(x)

1

unit

downward

F.

shrink horizontally

G.

shift f(x)

1

unit

to the right

H.

shrink vertically

I.

reflect about the y-axis

J.

shift f(x)

1

unit

upward

Graph

h(x)=3^x+1+1

and its asymptote. Graph the asymptote as a dashed line. Use the graphing tool to graph the function.

Find the equation of the asymptote for

h(x)=3^x+1+1

using the graph.