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vertical asymptote at x=2

Step-by-step explanation:

f(x) = 1/4 ln(x-2) +3

We know that ln(x) has an asymptote at x=0

This function is shifted to the right 2 and up 3,

The x asymptote will be shifted to the right 2

x=0 +2

x=2

Vertical asymptote at x = 2

Step-by-step explanation:

ln is only valid for positive inputs

Its undefined for 0 and negative, i.e.

x - 2《0

x《2

So asymptote is

x = 2

the transverse axis of a hyperbola is the line that contains the two vertices and the two focuses.

in this example (hyperbola of equation x^2/2 - y^2/4 = 1), the transverse axis is the  x-axis  . 

step-by-step explanation: