1.     The graph of a tangent function is given below. Find the equation of the graph in the form y...

1.     The graph of a tangent function is given below. Find the equation of the graph in the form y = A tan (Bx – C).

a.     Find A. The y-coordinate of the points on the graph and of the way between the consecutive asymptotes are given by –1 and 1 respectively.

b.     Find the period of the function (distance between two consecutive asymptotes).

c.      Find the coefficient of x, that is, B.

d.     Find the phase shift of the function (horizontal shift).

e.     Find the value of C.

f.       What is the correct equation of the given graph? Give your reasoning.

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