Begin by graphing

f(x)=lnx.

Use transformations of this graph to graph the given function. Graph and give the equation of the asymptote. Use the graphs to determine the function's domain and range.

g(x)=6lnx

Determine the transformations that are needed to go from

f(x)=lnx

to the given graph. Select all that apply.

A.

stretch horizontally

B.

reflect about the y-axis

C.

shift

6

units

downward

D.

shift

6

units

to the right

E.

shift

6

units

upward

F.

reflect about the x-axis

G.

stretch vertically

H.

shrink vertically

I.

shrink horizontally

J.

shift

6

units

to the left

Graph

g(x)=6lnx.

Graph the asymptote of g(x) as a dashed line. Use the graphing tool to graph the function.

What is the equation of the vertical asymptote of g(x)?

x=

What is the domain of

g(x)=6lnx?