Now that you know the effect that various transformations to the basic sine curve can have in terms of the curve's characteristics you can model periodic relations with sine functions. Test your understanding with the 5 problems below. For each problem you will need to:

• read the problem carefully,
• determine the amplitude, period, and the vertical and horizontal phase shifts,
• derive an sine model based on the characteristics of the situation, and
• test and refine your equation.