Cosine Function Transformations

Cosine Function Transformations

Assessment

Interactive Video

Mathematics

9th - 12th Grade

Hard

CCSS
HSF-IF.C.7E, HSF.TF.A.4

Standards-aligned

Created by

Mia Campbell

FREE Resource

Standards-aligned

CCSS.HSF-IF.C.7E
,
CCSS.HSF.TF.A.4
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.

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10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

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

Pi divided by 5

Positive 6

Negative 5

Positive 2

Tags

CCSS.HSF-IF.C.7E

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

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

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

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

5

0

-5

10

Tags

CCSS.HSF-IF.C.7E

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

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

Tags

CCSS.HSF.TF.A.4

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

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

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

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

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

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

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