Sine Function Concepts and Applications

The video tutorial explains how to determine the equation of a sine function graph. It covers identifying key characteristics such as midline, amplitude, period, and phase shift. The tutorial demonstrates how to calculate these values and formulate the sine equation. Additionally, it explores finding an alternative equation using reflection across the midline.

What is the general form of the equation for a sine function graph?

• y = a * cot(bx + c) + d

• y = a * tan(bx + c) + d

• y = a * sin(bx + c) + d

• y = a * cos(bx + c) + d

Tags

CCSS.HSF-IF.C.7E

What is the midline of the given sine function graph?

• y = 2

• y = 0

• y = -1

• y = 1

Tags

CCSS.HSF-IF.C.7E

How is the amplitude of a sine function determined?

• Distance from the origin to a minimum

• Distance from the origin to a maximum

• Distance from the midline to the x-axis

• Distance from the midline to a maximum or minimum

Tags

CCSS.HSF-IF.C.7E

What is the value of 'a' if the amplitude is 3?

• a = -3

• a = 0

• a = 3

• a = 1

Tags

CCSS.HSF.TF.A.4

How do you calculate the period of a sine function?

• 2π divided by the vertical shift

• 2π divided by b

• 2π divided by the phase shift

• 2π divided by the amplitude

Tags

CCSS.HSF.TF.A.4

What is the period of the sine function if b = π/5?

• 20

• 10

• 15

• 5

Tags

CCSS.HSF-IF.C.7E

What is the phase shift if the graph is shifted left by 4 units?

• 4

• 0

• -4

• 2

Tags

CCSS.HSF-IF.C.7E

What is the value of 'c' if the phase shift is -4 and b = π/5?

• -π/5

• π/5

• -4π/5

• 4π/5

Tags

CCSS.HSF-IF.C.7E

What happens to the value of 'a' when there is a reflection across the midline?

• a becomes zero

• a remains unchanged

• a becomes negative

• a becomes positive

Tags

CCSS.HSF-IF.C.7E

What is the alternative value of 'c' when the phase shift is right by 1 unit?

• -π/5

• π/5

• 2π/5

• -2π/5

Tags

CCSS.HSF-IF.C.7E