anonymous
  • anonymous
Did I do this right? The way I did it is found out that f(x)=2/2=1 and that g(x)=2/6=1/3 (Not sure though because the line cuts off before the 2/3 -___- Then I created the problem 1/3=1+k, subtracted 1 and got the answer of k=-2/3 I think I might be going places because that most likely isn't the right answer :D http://i.imgur.com/3UW2wH7.png
Mathematics
chestercat
  • chestercat
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anonymous
  • anonymous
I meant 2/6 not 2/3
anonymous
  • anonymous
Ok, whenever you add a number to a function like that, you're basically going to shift it up or down by that much. Something called a vertical shift.
anonymous
  • anonymous
So, if you're adding a number 'k' to f(x) to get g(x), count how many vertical spaces they differ by at an x-value. Like, x = 0 would probably be the easiest. How much do the y-values differ at x=0?

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anonymous
  • anonymous
2?
anonymous
  • anonymous
Not quite. When x = 0, look at what g(x) is first.
anonymous
  • anonymous
from two to six is four spaces
anonymous
  • anonymous
At x=0, g(x) is 2. Are you following me so far?
anonymous
  • anonymous
yes
anonymous
  • anonymous
So, at x=0, you want to see what f(x) is. What do you think f(x) is when x = 2?
anonymous
  • anonymous
2?
anonymous
  • anonymous
When you're trying to find what the y-value of a function is with a certain x, what you want to do is go to that x-value and go up or down until you get to the line. So, start at x=0 and y=0, and then go up or down until you get to the line, f(x). Does that help?
anonymous
  • anonymous
So if x=2 then f(x)=2 because at x2 the line is at 2/2
anonymous
  • anonymous
Yes. You're right. If you're going to use x=2, then what is g(x) when x = 2?
anonymous
  • anonymous
2/6?
anonymous
  • anonymous
Yes, g(x) = 6 when x = 2. So now, you want to take the difference of the two numbers, and that'll be what k is :)
anonymous
  • anonymous
so K = 4?
anonymous
  • anonymous
Yes.
anonymous
  • anonymous
Alright. Thank you very much :))
anonymous
  • anonymous
No problem. Also, in this kind of question, you can use any x-value you want to do it. That's why I said x=0 would be easiest because they y-values are right there on screen, which would've been 2 - (-2) = 4. You get it?
anonymous
  • anonymous
Yep

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