How do you graph # y=2-tan(x+pi/2)#?

1 Answer
sankarankalyanam
May 6, 2018

As shown below.

Explanation:

#y = A tan (Bx - C) + D " is the standard form of tan function"#

#"Given : " y = -tan (x + (pi/2)) + 2#

#"Amplitude " = " None for a tan function"#

#"Period ' = (pi) / |B| = pi / 1 = pi#

#"Phase Shift " = -C / B = -(pi/2) / 1 = -pi/2 , " " pi/2" to the left"#

#"Vertical Shift " = D = 2#
graph{-tan(x + (pi/2)) + 2 [-10, 10, -5, 5]}

Related questions
See all questions in Translating Sine and Cosine Functions
Impact of this question
1965 views around the world
You can reuse this answer
Creative Commons License