Understanding Sinusoidal Functions

The video tutorial explains how to derive a sinusoidal function from a given graph. It covers identifying key points, calculating the midline, amplitude, period, and horizontal shift. The tutorial also explores alternative function representations and demonstrates how different equations can represent the same graph.

What are the coordinates of the points through which the sinusoidal function passes?

• (-2, -5) and (4, -5)

• (-3, -6) and (1, -6)

• (-4, -7) and (2, -7)

• (-5, -8) and (3, -8)

Tags

CCSS.HSF-IF.C.7E

What is the midline of the sinusoidal function?

• y = -2

• y = -3

• y = -4

• y = -5

Tags

CCSS.HSF-IF.C.7E

What is the amplitude of the sinusoidal function?

• 2

• 3

• 5

• 4

Tags

CCSS.HSF-IF.C.7E

What is the value of 'a' in the sinusoidal function?

• 3

• -3

• -4

• 4

Tags

CCSS.HSF.TF.A.4

What is the period of the sinusoidal function?

• 7

• 5

• 4

• 6

Tags

CCSS.HSF-IF.C.7E

What is the value of 'b' in the sinusoidal function?

• 1/5π

• 1/3π

• 1/2π

• 1/4π

Tags

CCSS.HSF-IF.C.7E

What is the horizontal shift 'd' for the first possible equation?

• -3

• -4

• -1

• -2

Tags

CCSS.HSF-IF.C.7E

What is the horizontal shift 'd' for the second possible equation?

• -1

• -4

• -2

• -3

Tags

CCSS.HSF-IF.C.7E

What remains unchanged when considering alternative equations for the sinusoidal function?

• Horizontal Shift

• Period

• Amplitude

• Vertical Shift

Tags

CCSS.HSF-IF.C.7E

What is the vertical shift 'c' in the sinusoidal function?

• -1

• -2

• -3

• -4

Tags

CCSS.HSF-IF.C.7E