# How do you find the amplitude, period, and shift for #y=tan(theta/2-pi/4)+3#?

##### 1 Answer

Period is

#### Explanation:

The period of

The period of

Here,

the period

Phase shift

Vertical shift is 3.

In brief, this could be obtained

from the graph of

by moving it in x+-direction through

in the y+ direction through 3 units.

Within one period, say

So, the question of finding global/local mini/max values is

irrelevant.Indeed, this applies to the finding of the related

amplitude as well,

I welcome a graphical depiction by an interested reader.

I do not want to say that the amplitude is

the crest (zenith) at