Trig Graphs and equations

Quiz

•

Mathematics

•

9th - 12th Grade

•

Practice Problem

•

Medium

•

CCSS

HSF-IF.C.7E, HSF.TF.A.4, HSF.TF.A.2

+5

Standards-aligned

Mary Hannon

Used 343+ times

FREE Resource

About this resource

This quiz focuses on trigonometric functions and their graphical representations, specifically examining sine, cosine, tangent, cotangent, secant, and cosecant functions along with their transformations. The content is appropriate for grades 11-12, as it requires students to understand advanced concepts including amplitude, period, phase shift, vertical shift, and midline transformations. Students need a solid foundation in the unit circle, basic trigonometric function behavior, and the ability to analyze how coefficients and constants affect function graphs. The questions assess students' ability to interpret graphical representations of trigonometric functions, identify key characteristics from equations, and write equations based on given parameters. Students must understand that amplitude affects vertical stretching, frequency coefficients change the period, horizontal shifts create phase shifts, and additive constants result in vertical translations. Created by Mary Hannon, a Mathematics teacher in US who teaches grade 9-12. This comprehensive assessment tool effectively supports instruction by providing students with extensive practice in analyzing and writing trigonometric equations from their graphical representations. Teachers can utilize this quiz as a formative assessment to gauge student understanding of function transformations, as homework to reinforce classroom learning, or as review material before summative assessments. The variety of question types allows for differentiated practice, from basic identification of sine versus cosine graphs to more complex analysis involving multiple transformations simultaneously. This quiz aligns with Common Core standards HSF-TF.B.5 (choosing trigonometric functions to model periodic phenomena) and HSF-BF.B.3 (identifying the effect of transformations on graphs), providing students with essential practice in mathematical modeling and function analysis that prepares them for calculus and advanced mathematics courses.

31 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

20 sec • 1 pt

What is the equation of the blue graph?

y = 2sin x

y = sin(2x)

y = sin(x + 2)

y = sin x - 2

Tags

CCSS.HSF-IF.C.7E

2.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

What is the equation of the blue graph?

y = 4sin x

y = sin(4x)

y = sin(x + 4)

y = sin x + 4

Tags

CCSS.HSF-IF.C.7E

3.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

What is the equation of the blue graph?

y = sin(x - π/2)

y = sin(x + π/2)

y = π/2 sin x

y = sin x - π/2

Tags

CCSS.HSF-IF.C.7E

4.

MULTIPLE CHOICE QUESTION

20 sec • 1 pt

Sine or Cosine?

y=sinx

y=cosx

Tags

CCSS.HSF-IF.C.7E

5.

MULTIPLE CHOICE QUESTION

20 sec • 1 pt

Sine or Cosine?

y=sinx

y=cosx

Tags

CCSS.HSF-IF.C.7E

6.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Which equation?

y= sin(1/3x)

y= (1/3)sinx

y= 3sinx

y= sin(3x)

Tags

CCSS.HSF-IF.C.7E

7.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Which equation?

y= -cos(2x)

y= cos(2x)

y= (1/2)cosx

y= (-1/2)cosx

Tags

CCSS.HSF-IF.C.7E

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Trig Graphs and equations

31 questions

What is the equation of the blue graph?

What is the equation of the blue graph?

What is the equation of the blue graph?

Sine or Cosine?

Sine or Cosine?

Which equation?

Which equation?

What is the period of y=4cos5x?

Write the equation for a sine function with an amplitude of 6 and a period of π/4.

Write an equation for the cosine function with amplitude 3, period 2pi, phase shift of pi and a vertical shift of 5.

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