Question

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

Answer 1

https://adomvirtual.brainhoney.com/Resource/27439207,0/Assets/72383_53b5b2b2/07_00_158.jpg

Answer 2

Hint:
When transforming f(x)->g(x) in the form
g(x)=f(x-h)+k,
then g(x) is translated from f(x) to the right by h, and up by k.

We know that when \(f(x)=log_3(x)\), there is vertical asymptote at x=0 towards negative infinity, and that f(1)=0, and f(3)=1.
Observe the graph of g(x) to see how g(x) was transformed from f(x), and work out the transformation accordingly.

Answer 3

@mathmate i got f(x) – 2

Answer 4

is it right? @mathmate

Answer 5

f(x)-2, would shift the graph down the vertical axis,

but you want it to shift to the left

Answer 6

im really bad at this so would it be f(x-2)

Answer 7

that is a shift to the right

Answer 8

oh ok so it would be positive? f(x) = log3^(x+2)

Answer 9

i think you mean

g(x) = f(x+2) = log_3 (x+2)

Answer 10

yes would that be correct

Answer 11

yes!

Answer 12

Thank you :)

Answer 13

when x approaches -2, the log has a vertical asymptote