Finding the Period from the Equation Worksheet with Answer Key

What's on the worksheet

1. Give the amplitude, the period and the frequency of each function.
   y = 5\sin(8x)y = -3\cos\left(\dfrac{x}{6}\right)y = \dfrac{2}{3}\sin\left(\dfrac{5\pi}{4}x\right)y = 6\cos\left(-\dfrac{2}{7}x\right)y = -\sin(12\pi x)
2. Elena writes:
3. Find the period of y = -3(45x).
4. The graph of y = a(bx), with a > 0 and b > 0, has highest value 4 and makes exactly 2 full cycles on every interval of length 5 π.
5. On the interval [0, 6], the graph of y = (bx) makes exactly 3 full cycles and the graph of y = (cx) makes exactly 4 full cycles, with b > 0 and c > 0.
6. The figure shows the graph of y = (bx) for some number b > 0.
7. Isaac's desk fan turns its head from side to side.