How does phase shift affect your graph

The video tutorial explains the concept of phase shift in trigonometric functions, focusing on the cosine function. It covers how to graph the cosine function, calculate phase shifts, and understand their effects on the graph. The tutorial also discusses how phase shifts can alter the period of the function, providing examples and calculations to illustrate these changes.

What is the standard form of the cosine function used to determine phase shifts?

• A * sin(BX - C) + D

• A * tan(BX - C) + D

• A * sec(BX - C) + D

• A * cos(BX - C) + D

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

• By setting BX - C = 0

• By setting BX + C = 0

• By setting AX - C = 0

• By setting CX - B = 0

If the phase shift is calculated as π/4, where does the graph start?

• At 2π

• At π/4

• At π/2

• At 0

What happens to the graph when the phase shift is π/4?

• It shifts to the right by π/4

• It shifts to the right by π/2

• It shifts to the left by π/4

• It shifts to the left by π/2

How does the value of B affect the period of the graph?

• It triples the period

• It does not affect the period

• It halves the period

• It doubles the period

What is the new period of the graph if B = 2?

• 4π

• π/2

• π

• 2π

How does a phase shift affect the graph's period?

• It has no effect on the period

• It only changes the period

• It changes the period and shifts the graph

• It only shifts the graph horizontally