Question

What transformation has changed the parent function f(x) = log3x to its new appearance shown in the graph below? (1 point)

logarithmic graph passing through point 3, 0.

f(x − 2)

f(x + 2)

f(x) − 2

f(x) + 2

Answer 1

consider the graph of log(3x), which passes through (1,0)
(I have attached the graph, which was made w/ mathway)

now, compare this with the graph from the problem


https://us-static.z-dn.net/files/d5a/e6a543515c3c0a3b34402c51468b7e06.gif

if you do a side-by-side comparison, the new graph is the old graph shifted *2 units to the left, horizontally*

now, thinking about your function transformations, which one would produce a shift to the left by 2 units?