## Caitie Group Title What is the equation for the graph shown? 7 months ago 7 months ago

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1. Caitie Group Title

2. azetina Group Title

Definitely something involving tan(x)

3. Caitie Group Title

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

4. azetina Group Title

Look at the period

5. Caitie Group Title

What's a period?

6. azetina Group Title

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

7. Caitie Group Title

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

8. azetina Group Title

compare it to the base graph tan(x)

9. Caitie Group Title

tan(x) is pi...?

10. Caitie Group Title

Wow I'm confused haha

11. Caitie Group Title

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

12. Caitie Group Title

Is there a method to it?

13. azetina Group Title

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

14. alffer1 Group Title

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

15. alffer1 Group Title

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

16. Caitie Group Title

Tangent

17. azetina Group Title

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

18. azetina Group Title

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

19. azetina Group Title

and look at the zeros of the function

20. Caitie Group Title

Oh I get it that makes sense!

21. Caitie Group Title

Thank you so so much :)