## anonymous 2 years ago What is the equation for the graph shown?

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1. anonymous

2. anonymous

Definitely something involving tan(x)

3. anonymous

Awesome, thank you! Any idea how to find the equation?

4. anonymous

Look at the period

5. anonymous

What's a period?

6. anonymous

For example the period of sin(x) is 2pi. (one complete oscilation)

7. anonymous

How do I find the equation simply by looking at a graph though?

8. anonymous

compare it to the base graph tan(x)

9. anonymous

tan(x) is pi...?

10. anonymous

Wow I'm confused haha

11. anonymous

I'm still really confused as to how to find the equation of the graph though

12. anonymous

Is there a method to it?

13. anonymous

The equation should be $\tan \left( \frac{ x-\pi }{ 2 } \right)$

14. anonymous

Ok first off: Based on the shape of the graph, what trig function is this?

15. anonymous

@azetina you're right. not exactly sure how to explain this though.

16. anonymous

Tangent

17. anonymous

the second is $\tan (x- \pi)$

18. anonymous

Like I said, compare the phase shift with the base graph tan x

19. anonymous

and look at the zeros of the function

20. anonymous

Oh I get it that makes sense!

21. anonymous

Thank you so so much :)