Graphing a Cosine Graph with a Reflection

Graphing a Cosine Graph with a Reflection

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial covers the graphing of the function f(x) = -cos(4x). It begins with an introduction to the function and explains the concepts of amplitude and period. The tutorial then guides through the steps to graph the cosine function, including identifying key points and understanding the reflection. Finally, it concludes with a discussion on transformations and how to apply them to the graph.

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5 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the amplitude of the function f(x) = -cos(4x)?

4

1

0

-1

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How do you calculate the period of the function f(x) = -cos(4x)?

2π multiplied by B

B divided by 2π

B multiplied by 2π

2π divided by B

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the period of the function f(x) = -cos(4x)?

π/2

π/4

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How many key points are needed to graph one cycle of a cosine function?

5

3

2

4

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What effect does the negative sign have on the graph of f(x) = -cos(4x)?

It shifts the graph up

It shifts the graph down

It stretches the graph

It reflects the graph