What transformation has changed the parent function f(x) = log3x to its new appearance shown in the graph below?

logarithmic graph passing through point 1, negative 2.

f(x − 2)
f(x + 2)
f(x) − 2
f(x) + 2

Third option

Step-by-step explanation:

The function passes through the point (1,0) since the function always cuts the x-axis at .

Then, if the transformed function passes through point (1,-2) then this means that the graph of was moved vertically 2 units down.

The transformation that displaces the graphically of a function k units downwards is:

Where k is a negative number. In this case

Then the transformation is:

and the transformed function is: