anonymous
  • anonymous
What function is graphed below? (graph attached in comments) f(x) = log (x − 3) f(x) = log (x + 3) f(x) = log x + 3 f(x) = log x − 3
Mathematics
katieb
  • katieb
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anonymous
  • anonymous
1 Attachment
anonymous
  • anonymous
Alright @phi is awesome he will help...
anonymous
  • anonymous
okay :)

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phi
  • phi
the key number is what is log(1) ? if you don't know, what does your calculator say?
phi
  • phi
logs are confusing (for me, anyway) but log(1) means what exponent gives us 1? (we assume base 10) 10 to what power is 1? the factoid to remember is 10^0 = 1 the power is 0 log(1) means what power gives us 1. and the power is 0 log(1)=0
anonymous
  • anonymous
ah sorry, didn't get a notification that you replied.
phi
  • phi
assuming you know log(1)=0 we look for the x value of the graph where it crosses the x-axis (i.e. where y is zero) what x value is that ?
anonymous
  • anonymous
would it also be 0?
phi
  • phi
you have to look at the graph. put you finger on the x-axis and move your finger along the x-axis until you reach the curve. then read what x value you are at . can you do that ?
anonymous
  • anonymous
x=-2
phi
  • phi
good.
phi
  • phi
now we have to figure out how to change log(x) so that it is translated (slid over) from x=1 to x= -2 (because it should be at 0 at x=1, but we see it was moved so that it is at 0 when x=-2)
phi
  • phi
the "fast way" is to memorize: to slide a function f(x) to the *left* n steps, write f(x+n) to slide the function f(x) to the *right* n steps, write f(x-n)
anonymous
  • anonymous
one moment
anonymous
  • anonymous
i figured it out :) thanks!
phi
  • phi
what did you get ?

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