Sinusoidal Equation Quiz

What is the main challenge when finding a sinusoidal equation from given maximum and minimum values?

• Graphing the equation directly

• Working backwards to find the equation

• Identifying the maximum and minimum points

• Calculating the amplitude

What is the distance between the maximum and minimum points in the example provided?

• 4

• 1

• 2

• 3

How is the b value calculated in the context of sinusoidal equations?

• By subtracting the minimum from the maximum

• By multiplying the period by 2π

• By dividing the period by 2π

• By adding the maximum and minimum values

What is the midline value in the example provided?

• 0

• 2

• 1

• -1

How is the amplitude of a sinusoidal graph determined?

• By determining the phase difference

• By finding the horizontal shift

• By calculating the period

• By measuring the distance from the midline to the maximum or minimum

What is the horizontal shift for the cosine graph in the example?

• Right 1

• Left 1

• Left 2

• Right 2

What is the equation for the cosine graph in the example?

• y = 3 cos(π/2 (x - 1)) + 1

• y = 3 cos(π/2 (x + 1)) - 1

• y = 3 cos(π/2 (x - 1)) - 1

• y = 3 cos(π/2 (x + 1)) + 1

How are the sine and cosine graphs related in terms of phase?

• They are out of phase by a full period

• They are in phase

• They are out of phase by half a period

• They are out of phase by a quarter of a period

What is the equation for the sine graph in the example?

• y = 3 sin(π/2 (x + 1)) - 1

• y = 3 sin(π/2 (x + 2)) - 1

• y = 3 sin(π/2 (x - 1)) + 1

• y = 3 sin(π/2 (x - 2)) + 1

What happens when you add or subtract a full period to the x value in the sinusoidal equation?

• The graph remains unchanged

• The graph shifts vertically

• The graph's amplitude changes

• The graph's phase changes