Understanding Cosecant Function Transformations

Understanding Cosecant Function Transformations

Assessment

Interactive Video

Mathematics

9th - 12th Grade

Practice Problem

Hard

Created by

Liam Anderson

FREE Resource

The video tutorial explains how to describe and graph the transformation of the function y = 3csc(2x - π) - 2. It covers the identification of key parameters such as amplitude, period, phase shift, and vertical shift. The tutorial emphasizes the relationship between the sine and cosecant functions, demonstrating how to graph the sine function first and then use it to graph the cosecant function by identifying vertical asymptotes and points of concavity. The process involves sketching the midline, determining maximum and minimum values, and dividing the period into sub-intervals for accurate graphing.

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10 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the value of 'a' in the function y = 3csc(2x - π) - 2?

1

2

3

4

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How is the period of the function y = 3csc(2x - π) - 2 calculated?

2π divided by a

2π divided by b

π divided by d

π divided by c

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the phase shift of the function y = 3csc(2x - π) - 2?

Left π units

Right π/2 units

Left π/2 units

Right π units

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the vertical shift of the function y = 3csc(2x - π) - 2?

Down 2 units

Up 3 units

Down 3 units

Up 2 units

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Why is it helpful to graph the sine function when graphing the cosecant function?

Because they are reciprocals

Because they have the same period

Because they have the same phase shift

Because they have the same amplitude

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the midline of the sine function corresponding to y = 3csc(2x - π) - 2?

y = 0

y = 1

y = -1

y = -2

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the maximum value of the sine function corresponding to y = 3csc(2x - π) - 2?

4

3

2

1

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