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, negative 2.

−2 • f(x)
2 • f(x)
f(x) − 2
f(x) + 2

First Option

−2 • f(x)

Step-by-step explanation:

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

Then, if the transformed function passes through the point (2, -2) then this means that f(x) was multiplied by a factor of -2. So if an ordered pair belonged to f(x), then belongs to the transformed function. Therefore, if passed through point (2, 1) then the transformed function passes through point (2, -2)

The transformation that multiplies to f(x) by a factor of -2 is:

and the transformed function is:

answer: the answer is 23

step-by-step explanation: