Each labeled point on the graph below is either a maximum or a minimum. Homework Help ✎
What are the period and amplitude of the graph?
Write an equation for the graph.
Use one of the labeled points to check your equation.
Period: How far is it between consecutive maximums or minimums?
Amplitude: How “tall” is the graph? Divide this answer by 2.
Find the vertical and horizontal shifts. For the vertical shift, what number is in the middle of 23 and −17?
Review the Math Notes box in Lesson 9.2.4 for help with the general equation of a sine or cosine graph.
In this case, it is more convenient to use cosine because you know a maximum point.
Substitute the values for each of the points into the equation to verify that it is correct.