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Geometry

Graphs of Trigonometric Functions

Concept Quizzes

Graphs of Trigonometric Functions Warmup
Sine and Cosine Graphs
Tangent and Cotangent Graphs
Cosec and Sec Graphs
Inverse Trigonometric Graphs
Symmetry in Trigonometric Graphs
Trigonometric Graphs - Amplitude and Periodicity
Graphical Transformation of Trigonometric Functions
Recognizing Trigonometric Graphs
Graphs of Trigonometric Functions - Problem Solving

Challenge Quizzes

Graphs of Trigonometric Functions: Level 2 Challenges
Graphs of Trigonometric Functions: Level 3 Challenges

Graphical Transformation of Trigonometric Functions

Given the graph $y = \tan x$ , how do we obtain the graph of $y = 8 \tan x$ ?

Stretch the graph in the x direction by

\frac{1}{8}

Stretch the graph in the y direction by

\frac{1}{8}

Stretch the graph in the y direction by 8 Stretch the graph in the x direction by 8

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by Brilliant Staff

Which of the following is equal to $\cos x?$

\cos \left(x+\frac{\pi}{2}\right)

\cos (x+31\pi)

\sin \left(x+\frac{\pi}{2}\right)

\sin (x+31\pi)

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by Brilliant Staff

Find the maximum value $a$ and the minimum value $b$ of the function $y = \cos x+7.$

a=8, b=6 a=9, b=7 a=10, b=8 a=7, b=5

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by Brilliant Staff

Given the graph $y = \cos x$ , how do we obtain the graph of $y = \cos 9 x$ ?

Stretch the graph in the x direction by

\frac{1}{9}

Shift the graph in the x direction by 9 units Shift the graph in the y direction by 9 units Stretch the graph in the y direction by

\frac{1}{9}

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by Brilliant Staff

How are the graphs $y_ 1 = \sin ( 2 x)$ and $y_2 = 5 \sin x$ related?

Stretch

y_1

in the x-axis by

\frac{1}{2}

, then stretch it in the y-axis by

5

. Stretch

y_1

in the x-axis by

\frac{1}{2}

, then stretch it in the y-axis by

\frac{1}{5}

. Stretch

y_1

in the x-axis by

2

, then stretch it in the y-axis by

5

. Stretch

y_1

in the x-axis by

2

, and then stretch it in the y-axis by

\frac{1}{5}

Show explanation

View wiki

by Brilliant Staff