How to Graph the Cosine Function with Multiple Transformations

What is the amplitude of a cosine function if the coefficient of the cosine term is 5?

• 1

• 2.5

• 10

• 5

How do you calculate the period of a cosine function?

• 2π/B

• B/2π

• B/π

• π/B

If a cosine function is written as T/12, what is the equivalent expression for B?

• 12T

• 1/12

• T/12

• 12

What is the formula to determine the X scale of a cosine function?

• Period/6

• Period/4

• Period/8

• Period/2

How do you find the phase shift of a cosine function?

• Set the inside of the function to π

• Set the inside of the function to 0

• Set the inside of the function to 1

• Set the inside of the function to 2π

What is the phase shift if the equation inside the cosine function is t/12 - π/4 = 0?

• 12π

• π

• 3π

• π/4

What is the total distance between the maximum and minimum points if the amplitude is 5?

• 5

• 10

• 15

• 20

If the X scale is 6π, what is the next point after 6π?

• 30π

• 24π

• 18π

• 12π

What happens to the graph of a cosine function when it is shifted by a phase shift of 3π?

• Shifted right by 3π

• Shifted left by 3π

• Shifted up by 3π

• Shifted down by 3π

What is the importance of sketching the parent graph before applying transformations?

• To apply reflections accurately

• To visualize phase shifts

• To ensure correct scaling

• To check the amplitude