## Caitie one year ago What is the equation for the graph shown?

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1. Caitie

2. azetina

Definitely something involving tan(x)

3. Caitie

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

4. azetina

Look at the period

5. Caitie

What's a period?

6. azetina

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

7. Caitie

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

8. azetina

compare it to the base graph tan(x)

9. Caitie

tan(x) is pi...?

10. Caitie

Wow I'm confused haha

11. Caitie

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

12. Caitie

Is there a method to it?

13. azetina

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

14. alffer1

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

15. alffer1

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

16. Caitie

Tangent

17. azetina

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

18. azetina

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

19. azetina

and look at the zeros of the function

20. Caitie

Oh I get it that makes sense!

21. Caitie

Thank you so so much :)