How do you find the amplitude, period, vertical and phase shift and graph #y=5+tan(theta+pi/4)#?

1 Answer
Jun 17, 2018

As detailed.

Explanation:

#y = A tan (Bx - C) + D#

Given #y = tan (theta + pi/4) + 5#

#A = 1, B = 1, C = -pi/4, D = 5#

Amplitude # = # NONE for tangent function.

Period #pi / |B| = pi / 1 = pi#

Phase Shift #= -C / B = pi/4, pi/4# to the right.

Vertical Shift #= D = 5#

graph{tan (x + pi/4) + 5 [-10, 10, -5, 5]}