Cosine Function Transformations

The video tutorial explains the transformation of a cosine function, detailing vertical and horizontal shifts, amplitude, reflection, and period calculation. It guides viewers through graphing the function, considering phase shifts and point translations, and extends the graph to the left, following a specific pattern.

What is the value of C in the given cosine function transformation?

• Pi divided by 5

• Positive 6

• Negative 5

• Positive 2

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CCSS.HSF-IF.C.7E

How does the value of C affect the graph of the cosine function?

• It shifts the graph right by 6 units

• It shifts the graph up 2 units

• It shifts the graph down 5 units

• It shifts the graph left by pi/5 units

Tags

CCSS.HSF-IF.C.7E

What is the amplitude of the cosine function given that A is -5?

• 5

• 0

• -5

• 10

Tags

CCSS.HSF-IF.C.7E

What is the effect of a negative A value on the cosine graph?

• It reflects the graph across the midline

• It increases the amplitude

• It shifts the graph up

• It changes the period

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CCSS.HSF.TF.A.4

How is the period of the cosine function calculated when B is pi/5?

• 10 units

• pi units

• 5 units

• 2pi units

Tags

CCSS.HSF-IF.C.7E

What is the phase shift of the cosine function when D is positive 6?

• Right 6 units

• Left 6 units

• Up 6 units

• Down 6 units

Tags

CCSS.HSF-IF.C.7E

What is the first point on the graph after applying the phase shift?

• 6, -3

• 11, 7

• 16, 0

• 0, 1

Tags

CCSS.HSF-IF.C.7E

What is the maximum value of the cosine function after transformation?

• 7

• 5

• 0

• 3

Tags

CCSS.HSF-IF.C.7E

What is the minimum value of the cosine function after transformation?

• -5

• -7

• -3

• 0

Tags

CCSS.HSF-IF.C.7E

What is the pattern of the cosine function after reflection across the midline?

• Midline, Maximum, Midline, Minimum, Midline

• Maximum, Midline, Minimum, Midline, Maximum

• Minimum, Maximum, Midline, Maximum, Minimum

• Minimum, Midline, Maximum, Midline, Minimum

Tags

CCSS.HSF-IF.C.7E