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

1 Answer
Lydia
Mar 17, 2016

The amplitude is 4, the period is pi/2, and the graph is shifted to the right pi/2.

Explanation:

The general pattern for a tangent function is:
y=atanb(x-h)+k

In this case, a is 4, so the amplitude is 4.

To find the period, we need to find the b value first. To do this, we need to pull out the 2 in order to isolate x. Therefore, we get:
y=4tan2(x-pi/2)
The period for a tangent function is equal to pi/b.
pi/b=pi/2

The h value is how much the graph is shifted horizontally. In this case, we can see that the graph is shifted to the right pi/2.

Related questions
See all questions in Amplitude, Period and Frequency
Impact of this question
4989 views around the world
You can reuse this answer
Creative Commons License