Graphing Cosine Functions and Properties

The video tutorial explains how to sketch the graph of a cosine function with transformations. It covers identifying coefficients, calculating amplitude, period, phase shift, and vertical shift. The tutorial guides through graphing the function by dividing the period into subintervals and using patterns. It also demonstrates using graphing tools to complete the graph.

What is the coefficient of the cosine function in the given equation?

• -4

• 4

• -3

• 3

How is the period of the function calculated?

• By dividing 2π by b

• By multiplying b by 2π

• By subtracting b from 2π

• By adding b to 2π

What is the phase shift of the function?

• Left 4 units

• Right 4 units

• Up 4 units

• Down 4 units

What is the vertical shift of the function?

• Up 3 units

• Up 6 units

• Down 3 units

• Down 6 units

What is the midline of the function?

• y = -6

• y = 3

• y = 0

• y = -3

Where does the graph of the function start after the phase shift?

• x = 4

• x = 0

• x = -4

• x = 8

What is the pattern used to graph the cosine function over one period?

• Midline, Maximum, Midline, Minimum, Midline

• Maximum, Minimum, Midline, Maximum, Minimum

• Maximum, Midline, Minimum, Midline, Maximum

• Minimum, Midline, Maximum, Midline, Minimum

What is the maximum value of the function?

• -6

• 3

• 0

• -3

What is the minimum value of the function?

• -3

• 0

• 3

• -6

What is the first step in using the graphing tool for this function?

• Select a point on the x-axis

• Select a point on the midline

• Select a minimum and a maximum point

• Select two maximum points