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Graphing Sine Functions and Their Properties

Graphing Sine Functions and Their Properties

Assessment

Interactive Video

Mathematics

9th - 10th Grade

Hard

Created by

Thomas White

FREE Resource

The video tutorial explains how to graph the sine function with a phase shift. It begins by determining the period of the function, followed by explaining the amplitude and phase shift. The instructor solves for the phase shift and demonstrates how to graph the function manually. Finally, the video shows how to use computer tools to graph the sine function accurately.

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22 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first step in sketching the graph of a sine function?

Draw the axes

Calculate the period

Determine the amplitude

Identify the phase shift

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

For the function sine(3x - 1/4 pi), what is the period?

π

π/2

2π/3

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the amplitude of the function sine(3x - 1/4 pi)?

3

2

1

1/4

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

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

By drawing the graph

By calculating the period

By solving the equation inside the sine function

By finding the amplitude

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the phase shift for the function sine(3x - 1/4 pi)?

π/6

π/12

π/3

π/4

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the purpose of drawing the axes before plotting the graph?

To find the maximum and minimum points

To determine the amplitude

To mark the period and phase shift

To calculate the phase shift

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How is the period marked on the graph axes?

By marking the period length

By dividing the axes into equal parts

By drawing vertical lines

By using the amplitude

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