How do you write an equation of the tangent function with period pi/4, phase shift pi, and vertical shift 1?

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Answer 1 · 2018-07-05T14:45:09

Equation is #y = tan 4(x + pi) + 1#

Standard form of the tangent function is

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

Period #= pi/4 = pi / |B|#

#|B| = pi / (pi/4) = 4#

Phase Shift #= -C / B = pi#

#C = -B * pi = -4 * pi = -4pi#

Vertical Shift # = D = 1#

Equation is #y = tan (4x + 4pi) + 1#