Tangent Function Transformations and Properties

Tangent Function Transformations and Properties

Assessment

Interactive Video

Mathematics

9th - 10th Grade

Practice Problem

Hard

Created by

Thomas White

FREE Resource

In this video, Mario from Mario's Math Tutoring explains how to graph tangent functions. He begins by discussing the challenges students face with tangent graphs and reviews the unit circle. The video covers the parent function of tangent graphs, their period, and how to adjust the graph when coefficients are involved. Mario provides examples, including vertical stretching and horizontal shifts, to illustrate these concepts. The video concludes with encouragement to explore further and improve understanding of tangent graphs.

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10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the value of the tangent function at -π/2?

1

Undefined

-1

0

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the period of the parent tangent function?

π

π/2

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How do you calculate the period of y = tan(1/2x)?

π

π/2

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What happens to the x-values when graphing y = tan(1/2x)?

They are squared

They are divided by 2

They are multiplied by 2

They remain unchanged

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the effect of the coefficient 2 in y = 2tan(4x)?

Horizontal compression

Vertical compression

Vertical stretch

Horizontal stretch

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the period of y = 2tan(4x)?

π/4

π/2

π

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How does the graph of y = tan(x - π/4) shift?

Right π/4

Down π/4

Left π/4

Up π/4

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