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Learning to Graph Cosine with Multiple Transformations

Learning to Graph Cosine with Multiple Transformations

Assessment

Interactive Video

Mathematics

9th - 10th Grade

Practice Problem

Hard

Created by

Wayground Content

FREE Resource

The video tutorial explains how to graph the cosine function y = 4cos(X + π/4) + 4. It covers key concepts such as amplitude, period, vertical transformation, and phase shift. The instructor emphasizes the importance of understanding these elements to accurately graph the function. The tutorial includes step-by-step instructions for calculating the phase shift and plotting the graph, ensuring students can apply these techniques to similar problems.

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7 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What are the key components you need to know before graphing a trigonometric function?

Amplitude, period, X scale, vertical transformation, and phase shift

Only the amplitude and period

Just the X scale and phase shift

None of the above

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How do you calculate the period of a cosine function?

2π times the coefficient of X

2π divided by the coefficient of X

The absolute value of the amplitude

The coefficient of X

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the X scale for the function y = 4 cos(X + π/4) + 4?

π/2

π

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How do you determine the phase shift of a trigonometric function?

By calculating the period

By finding the amplitude

By determining the vertical transformation

By setting BX - C equal to zero

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the starting point of the graph for the given function?

At π/4

At 0

At -π/4

At 2π

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the maximum value the graph can reach given the amplitude?

4

0

-4

8

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How many complete periods are shown in the final graph?

One

Two

Three

Four

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