Question

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

Answer 1

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]}