Question

Just need help on this one question I don't get. Please help


What transformation has changed the parent function f(x) = log5 x to its new appearance shown in the graph below?

http://gyazo.com/d9ff74e34f71cbb576b2e758ae33a637

Answer 1

what does log5 x usually look like?

Answer 2

It originally looks like this http://gyazo.com/bc32e03080f71cf45df04355b4cf35f4 but how do I get the change to new graph @amistre64 I graphed it

Answer 3

hmm, if i were to take a guess, id say that the point shown (-1,-2) has been shifted from (1,0)

Answer 4

log(x) - 2 drops it

and to move it left, we add to the x part ...

Answer 5

this would probably help more. f(x + 2) + 2

f(x + 2) − 2

f(x + 2) + 5

f(x − 2) − 5 these are the options. Do I plug in these to the original? then see the graphed change

Answer 6

I don't know how to explain, just give you my trick, do you want to take it?

Answer 7

okay

Answer 8

look at the new graph, the point (-1,-2) is the point (1,0) from the original graph
I mean if I take that point , shift up 2 units, right 2 units, I get the point (1,0)
so that the original graph will be taken down 2 units to get the new graph
Among the options, there is ONLY one option has the form -2 at the end, that is f(x+2) \(\color{red}{-2}\), so, I take it

Answer 9

Thank you! I get that