How do you graph # y =tan (3x + pi/3)#?

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Answer 1 · 2018-06-07T01:42:29

As below.

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

#"Given " y = tan (3x + pi/3)#

#"Amplitude " = |A| = color(green)("None") "for tangent function"

#"Period " = pi / |B| = pi/3#

#"Phase Shift " = -C / B = -pi/3, color(green)(pi/3) "to the left"#

#"Vertical Shift " = D = 0#

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