Graphing the Secant Function with a Change in Period and Reflection

The video tutorial covers graphing secant and cosecant functions by using their reciprocal functions. It explains the process of determining amplitude, period, X-scale, phase shift, and vertical translation. The teacher also reviews cosine graphing, highlighting the effects of negative coefficients and the concept of asymptotes in secant graphs. School announcements about upcoming events and meetings are also included.

What is the first step in graphing the secant or cosecant function?

• Graph the reciprocal function

• Graph the original function

• Find the vertical translation

• Determine the phase shift

How do you calculate the amplitude of the function Y = -2 cosine of 1/2 X?

• By setting BX - C equal to zero

• By taking the absolute value of B

• By taking the absolute value of A

• By dividing 2π by B

What is the period of the function Y = -2 cosine of 1/2 X?

• 4π

• π

• 1/2π

• 2π

What is the X-scale for the function Y = -2 cosine of 1/2 X?

• π

• 2π

• 4π

• 1/2π

What happens to the graph of a function when there is a negative sign in front?

• It shifts upwards

• It reflects over the X-axis

• It shifts downwards

• It reflects over the Y-axis

What does the secant function represent in terms of cosine?

• The X-coordinate

• The Y-coordinate

• 1 divided by the X-coordinate

• 1 divided by the Y-coordinate

Where do asymptotes appear in the graph of a secant function?

• Where cosine crosses the X-axis

• Where cosine is at its minimum

• Where cosine is at its maximum

• Where cosine crosses the Y-axis