Worksheet A: (Topic 3.6) Sinusoidal Function Transformations

• a = 1, b = 2, d = 3

• a = 3, b = 2, d = -1

• a = -1, b =3 d = 2

• a = -2, b = 3, d = 1

The trigonometric function k has a maximum at the point (π/2, 30). After this maximum, the next minimum occurs at the point (3π/2, 20). Which of the following could be an expression for k(x)?

• 5cos(x) + 25

• 10cos(x) + 20

• 5sin(2x) + 25

• 10sin(2x) + 20

The trigonometric function k has a minimum at the point (0, -6). After this minimum, the next maximum occurs at the point (3π, 0). Which of the following could be an expression for k(x)?

Determine the amplitude and the period of the given function.