Graphing the Secant Graph with Multiple Transformations

The video tutorial explains how to graph secant and cosecant functions by using cosine as a reference. It covers the calculation of amplitude and period, identifying key points, and transforming cosine graphs into secant graphs. The tutorial also discusses the role of asymptotes and the differences in period and reflection between cosine and secant graphs.

What is the relationship between secant and cosine?

• Secant is the reciprocal of cotangent.

• Secant is the same as tangent.

• Secant is the reciprocal of cosine.

• Secant is the reciprocal of sine.

How do you determine the amplitude of a cosine function?

• By finding the maximum value of the function.

• By taking the absolute value of the coefficient of cosine.

• By calculating the distance between the peaks.

• By measuring the height from the x-axis to the peak.

What happens to the intercepts of a cosine graph when transformed into a secant graph?

• They become maximum points.

• They become minimum points.

• They remain as intercepts.

• They turn into asymptotes.

Why can't you divide by zero in the context of secant graphs?

• Because it results in a zero value.

• Because it results in a negative value.

• Because it results in a positive value.

• Because it results in an undefined value.

What is the period of a secant graph compared to a cosine graph?

• The same as the cosine graph.

• Twice the period of the cosine graph.

• Half the period of the cosine graph.

• Three times the period of the cosine graph.

What is the significance of asymptotes in a secant graph?

• They mark the minimum points.

• They represent the points where the graph is undefined.

• They show where the graph crosses the x-axis.

• They indicate the maximum points.

How does the period of a secant graph compare to its parent graph?

• It is twice as long as the parent graph.

• It is the same as the parent graph.

• It is shorter than the parent graph.

• It is longer than the parent graph.