Question

Determine the period, amplitude, and phase shift of$f(x)=3cos2\left \{ x-\frac{\pi }{4}]+1$

b) List the five critical points for the first cycle. (3 marks)

Use this information to sketch the graph off(x) for two

complete cycles. Determine $\frac{1}{4}$ wave and starting point.

Clearly label the scale on both axes. (3 marks)

Answer 1

->period = $\frac{2\pi }{2} =\pi$

->a=3, shift $\frac{\pi }{4}$

->right 1 unit up

Rest are shown in graph