anonymous
  • anonymous
What is the equation for the graph shown?
Mathematics
chestercat
  • chestercat
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anonymous
  • anonymous
Definitely something involving tan(x)
anonymous
  • anonymous
Awesome, thank you! Any idea how to find the equation?

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anonymous
  • anonymous
Look at the period
anonymous
  • anonymous
What's a period?
anonymous
  • anonymous
For example the period of sin(x) is 2pi. (one complete oscilation)
anonymous
  • anonymous
How do I find the equation simply by looking at a graph though?
anonymous
  • anonymous
compare it to the base graph tan(x)
anonymous
  • anonymous
tan(x) is pi...?
anonymous
  • anonymous
Wow I'm confused haha
anonymous
  • anonymous
I'm still really confused as to how to find the equation of the graph though
anonymous
  • anonymous
Is there a method to it?
anonymous
  • anonymous
The equation should be \[\tan \left( \frac{ x-\pi }{ 2 } \right)\]
anonymous
  • anonymous
Ok first off: Based on the shape of the graph, what trig function is this?
anonymous
  • anonymous
@azetina you're right. not exactly sure how to explain this though.
anonymous
  • anonymous
Tangent
anonymous
  • anonymous
the second is \[\tan (x- \pi)\]
anonymous
  • anonymous
Like I said, compare the phase shift with the base graph tan x
anonymous
  • anonymous
and look at the zeros of the function
anonymous
  • anonymous
Oh I get it that makes sense!
anonymous
  • anonymous
Thank you so so much :)

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