What are the important information needed to graph #y=2 tan(3pi(x) +4) #?

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Answer 1 · 2018-07-11T01:30:42

As below.

Standard form of tangent function is #y = A tan (Bx - C) + D#

#"Given : " y = 2 tan (3 pi xi) + 4#

#A = 2, B = 3 pi, C = 0, D = 4#

#Amplitude = |A| = "NONE for tangent function"#

#"Period " = pi / |B| = pi/(3pi) = 1/3#

#"Phase Shift " = -C / B = 0 / (3 pi) = 0, " No Phase Shift"##

#"Vertical Shift " = D = 4#

graph{2 tan(3 pi x) + 6 [-10, 10, -5, 5]}