Graphing Cosine with Reflection and Change in Period

The video tutorial explains how to graph the function Y = -5 cos(πX/6). It covers determining the amplitude, which is the absolute value of the coefficient, and calculating the period using the formula 2π/B. The tutorial also discusses finding critical points by dividing the period by 4 and setting the start and end points of the function. Finally, it demonstrates graphing the cosine function, considering the reflection over the X-axis due to the negative sign in the function.

What is the amplitude of the function Y = -5 cos(πX/6)?

• 12

• 5

• -5

• π/6

How is the period of a cosine function determined?

• By multiplying 2π by B

• By adding 2π to B

• By subtracting B from 2π

• By dividing 2π by B

What is the distance between critical points in the cosine graph?

• Period divided by 2

• Period divided by 3

• Period divided by 4

• Period divided by 5

How do you determine the start point of the cosine graph?

• Set the function equal to -π

• Set the function equal to 0

• Set the function equal to π

• Set the function equal to 2π

What effect does a negative sign have on the cosine graph?

• It shifts the graph down

• It reflects the graph over the Y-axis

• It shifts the graph up

• It reflects the graph over the X-axis

Where does the reflected cosine graph start?

• At 5

• At 1

• At 0

• At -5

How many full periods are shown in the graph of Y = -5 cos(πX/6)?

• Four

• Three

• Two

• One