What transformation has changed the parent function f(x) = log2x to its new appearance shown in the graph below?

logarithmic graph passing through point 2, 4.

f(x + 3)
f(x − 3)
f(x) + 3
f(x) − 3

Third Option

Step-by-step explanation:

The function passes through point (2, 1) because the exponential function when .

Then, if the transformed function passes through point (2, 4) then this means that the graph of was moved vertically 3 units up.

The transformation that vertically displaces the graph of a function k units upwards is:

Where k is a positive number. In this case

Then the transformation is:

and the transformed function is:

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