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Transformations of Trigonometric Functions

Transformations of Trigonometric Functions

Assessment

Interactive Video

Mathematics

9th - 10th Grade

Practice Problem

Hard

Created by

Thomas White

FREE Resource

This tutorial covers the transformation of trigraphs, specifically focusing on the reflection of sine, cosine, and tangent graphs in the x-axis. The video explains how to apply the transformation y = -F(x) to these trigonometric functions, demonstrating the process with examples and encouraging viewers to sketch the transformations themselves. The tutorial aims to help viewers understand the concept of reflection in the x-axis and how it affects the appearance of trigonometric graphs.

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19 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What does the transformation y = -F(x) represent in terms of graph behavior?

A reflection in the y-axis

A shift to the right

A reflection in the x-axis

A vertical stretch

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which of the following is a basic trigonometric graph?

y = sqrt x

y = log x

y = sin x

y = exp x

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the primary focus of the tutorial?

Calculating derivatives

Solving quadratic equations

Transformations of trigraphs

Graphing linear equations

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the primary transformation discussed in the tutorial?

Reflection in the x-axis

Horizontal shift

Vertical shift

Reflection in the y-axis

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How is the graph of y = sin x transformed when applying y = -sin x?

It reflects over the y-axis

It shifts upwards

It becomes a straight line

It reflects over the x-axis

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What remains invariant when reflecting the sine graph over the x-axis?

The phase shift

The frequency

The points on the x-axis

The amplitude

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the range of the sine wave before transformation?

-3 to 3

0 to 1

-1 to 1

-2 to 2

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