Episode 11 — Trigonometric Functions

Effect of a on y= cos x +q

Learners will be able to:

• Identify the effect of a constant on the range of y-values in the function y = a cos x. • Explain how the amplitude changes when a constant is multiplied in front of the function y = cos x. • Describe the transformation that occurs when a negative sign is placed in front of the function y = 3 cos x. • Sketch the graph of y = -3 cos x using the rule xy maps onto x, -3y. • Apply the concept of amplitude to determine the effect of a constant on the graph of y = a cos x.