Can you give an example of a drawing of tangent graphs? For eg, 3tan2x + 1, what does each stand for and how do i go about drawing?

From the drawing, you see only 1 diagram instead of a few diagrams as what most people will have.

The secret is............ I drew my x and y axis LAST which is the reason why my diagram is so neat and it takes me less than 2 min to complete : )

Click on diagram to have an larger view

ljh says

add some notes here:

1.tan nx means the PERIOD of the function become pi/n.

2. n tan x means the graph undergoes VERTICAL STRETCH

3. tan x +n means the graph undergoes VERTICAL TRANSLATION

trisha says

thanks to show such solution