SKETCHING THE GRAPH OF Y EQUALS A SIN BX WORKSHEET

Determine the amplitude, period, phase shift of each function. Then graph of one period of the function.

Problem 1 :

y = 3 sin x

Problem 2 :

y = (1/3) sin x

Problem 3 :

y = -2 sin x

Problem 4 :

y = sin (1/3)x

Problem 5 :

y = sin (x/2)

Problem 6 :

y = sin 3x

Answer Key

1) So, the points are (0, 0), (𝜋/2, 3) (𝜋, 0) (3𝜋/2, -3) and (2𝜋, 0)

2) So, the points are (0, 0), (𝜋/2, 1/3) (𝜋, 0) (3𝜋/2, -1/3) and (2𝜋, 0)

3) So, the points are (0, 0), (𝜋/2, 2) (𝜋, 0) (3𝜋/2, -2) and (2𝜋, 0)

4) So, the points are (0, 0), (3𝜋/2, 1) (3𝜋, 0) (9𝜋/2, -1) and (6𝜋, 0)

5) So, the points are (0, 0), (𝜋, 1) (2𝜋, 0) (3𝜋, -1) and (4𝜋, 0)

6) So, the points are (0, 0), (𝜋/6, 1) (𝜋/3, 0) (𝜋/2, -1) and (2𝜋/3, 0)