Graphing a Trig Function with Cosine

The video tutorial explains how to graph the cosine function by determining the amplitude and period. It covers the general form of the cosine equation, how to calculate the amplitude as the absolute value of 'a', and the period as 2π divided by 'B'. The tutorial also discusses graphing the cosine function, identifying critical points, and completing the graph with two cycles. It emphasizes the importance of understanding the parent function and dividing the graph into sections for accurate plotting.

What is the formula to calculate the period of a cosine function?

• π times the coefficient of x

• 2π times the coefficient of x

• π divided by the coefficient of x

• 2π divided by the coefficient of x

How does the amplitude affect the graph of a cosine function?

• It alters the phase shift

• It affects the vertical stretch or compression

• It changes the period of the graph

• It determines the horizontal shift

What are the four critical points to find on a cosine graph?

• Intercept, maximum, minimum, and phase shift

• Maximum, minimum, intercept, and end of period

• Start, middle, end, and intercept

• Maximum, minimum, start, and end

How can you divide the period of a cosine function to find critical points?

• By dividing it into three equal sections

• By dividing it into four equal sections

• By dividing it into five equal sections

• By dividing it into two equal sections

What is the significance of extending the graph to cover two cycles?

• It alters the period

• It helps in understanding the phase shift

• It provides a complete view of the function's behavior

• It changes the amplitude

In which direction can the cosine graph be extended?

• Neither direction

• Both left and right

• Only to the left

• Only to the right

What is the main focus when graphing a cosine function?

• Determining the amplitude and critical points

• Finding the phase shift

• Calculating the vertical shift

• Identifying the horizontal shift