What transformation has changed the parent function f(x) = log2 x to its new appearance shown in the graph below? logarithmic graph passing through point negative 1, 3.

Respuesta :

Assuming there are no vertical or horizontal stretches or any reflections (a picture would help)...

Understanding that log base 2 of 1 = 0, (that is 2 raised to the 0 power = 1) can help us figure out the transformation. So the coordinate is (1,0).

This has been shifted to the left 2 spots (to -1) and up 3 (to 3), therefore we can apply to get the new equation. 

log2(x+2) + 3.

So it would be a horizontal shift left 2 and a vertical shift up 3. (Again assuming no stretches/shrinks/reflections).

Answer:

Third option

Step-by-step explanation: