Question

What transformation has changed the parent function f(x) = log3x to its new appearance shown in the graph below?
http://assets.openstudy.com/updates/attachments/537ca8dbe4b0141a61368d19-thejonathanp4-1400678660161-0711_g10_q4.jpg

Answer 1

f(x + 4) + 2
f(x − 2) − 2
f(x + 2) + 2
f(x − 4) − 2

Answer 2

@phi

Answer 3

Yes!

Answer 4

if the parent function is
\[ y = \log_3(x) \]
when x=1, y= 0
when x=3 , y = 1

Answer 5

so A

Answer 6

it should be clear the graph has been shifted up
so it is either A or C

Answer 7

the point (-1,3) if shifted down by 2 (based on choice A or C, the shift was 2 up)
we would be at -1,1
the original graph is y=1 at (3,1)
so it looks like the x value shifted from 3 to -1, a shift of 4

left shift of 4 means we do x+4 (this is possible confusing)
so
f(x+4)+2
is the graphed function