Understanding Sine and Cosine Graph Transformations

This video tutorial covers graphing sine and cosine functions with basic transformations, including amplitude, period, phase shift, and vertical shift. It provides examples of graphing these functions, demonstrating how to apply transformations and adjust the graph accordingly. The tutorial also explains how to handle reflections and adjust the graphing window for accurate representation.

What is the amplitude of a sine or cosine function if the absolute value of 'A' is 3?

• 4

• 2

• 1

• 3

Tags

CCSS.HSF-IF.C.7E

If the period of a sine function is given by 2π/B and B is 4, what is the period?

• π/2

• π

• 2π

• 4π

How does a positive 'C' value affect the vertical translation of a function?

• Reflects across x-axis

• No effect

• Translates down

• Translates up

Tags

CCSS.HSF-IF.C.7E

What is the horizontal shift if the function is x - π/4?

• Right π/4

• Left π/2

• Left π/4

• Right π/2

Tags

CCSS.HSF-IF.C.7E

In the graph of a sine function, what is the first point on the graph after a left shift of π/4?

• -π/4

• π/4

• π/2

• 0

Tags

CCSS.HSF.TF.A.4

What is the period of a cosine function if the period is 4π?

• π

• 4π

• 2π

• 3π

Tags

CCSS.HSF-IF.C.7E

If a cosine function is shifted right by π/2 units, where does the graph start?

• 0

• 3π/2

• π/2

• π

Tags

CCSS.HSF-IF.C.7E

What is the vertical shift if C = +2 in a cosine function?

• No shift

• Up 2 units

• Reflects across y-axis

• Down 2 units

Tags

CCSS.HSF-IF.C.7E

How does a negative 'A' value affect the graph of a sine function?

• Reflects across x-axis

• Translates up

• No effect

• Reflects across y-axis

Tags

CCSS.HSF-IF.C.7E

If the period of a sine function is 2 units, what is the value of B?

• π

• 1

• 2

• π/2

Tags

CCSS.HSF-IF.C.7E