Question

How do you graph `y=3tan(1/2x)-2`?

Answer 1

As below.

Explanation:

`y = 3 tan (x/2) - 2`

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

`A = 3, B = 1/2, C = 0, D = -2`

`Amplitude = NONE` for tangent function.

Period `= (pi) / |B| = pi / (1/2) = 2pi`

Phase Shift `= (-C) / B = 0`

Vertical Shift `= D = -2`

graph{3 tan(x/2) - 2 [-10, 10, -5, 5]}