# How do you find the amplitude, period, and shift for #y=4tan2(x-pi/2)#?

##### 1 Answer

Dec 15, 2015

#"Amplitude" = abs(a) = 4# #"Period" = pi/b = pi/2# #"Phase Shift" = c/b = pi/2#

#### Explanation:

Here's one way to write a generic tangent function that has been transformed in some way.

In this scenario:

#"Amplitude" = abs(a)# #"Period" = pi/b# #"Phase Shift" = c/b#

For your specific problem, the coefficient

The values are identical, but a bit easier to spot:

#"Amplitude" = abs(a) = 4# #"Period" = pi/b = pi/2# #"Phase Shift" = c/b = pi/2#

If this function was a sine or cosine function, the period would be