Question

What is the equation for the graph shown?

Answer 1

Definitely something involving tan(x)

Answer 2

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

Answer 3

Look at the period

Answer 4

What's a period?

Answer 5

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

Answer 6

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

Answer 7

compare it to the base graph tan(x)

Answer 8

tan(x) is pi...?

Answer 9

Wow I'm confused haha

Answer 10

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

Answer 11

Is there a method to it?

Answer 12

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

Answer 13

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

Answer 14

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

Answer 15

Tangent

Answer 16

the second is \[\tan (x- \pi)\]

Answer 17

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

Answer 18

and look at the zeros of the function

Answer 19

Oh I get it that makes sense!

Answer 20

Thank you so so much :)