Graphical Transformation of Trigonometric Functions Practice Problems Online

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 8 Stretch the graph in the x direction by 8 Stretch the graph in the y direction by \[\frac{1}{8}\]

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Which of the following is equal to \(\cos x?\)

\[\cos (x+31\pi)\] \[\sin (x+31\pi)\] \[\sin \left(x+\frac{\pi}{2}\right)\] \[\cos \left(x+\frac{\pi}{2}\right)\]

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

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

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

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 \[ \frac{1}{9} \] Stretch the graph in the x direction by \[ \frac{1}{9} \]

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

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 \[ \frac{1}{2}\] , 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 \[ \frac{1}{5}\]. Stretch \[y_1\] in the x-axis by \[\frac{1}{2}\] , then stretch it in the y-axis by \[\frac{1}{5}\].

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Graphs of Trigonometric Functions

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Graphical Transformation of Trigonometric Functions

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Graphs of Trigonometric Functions

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Graphical Transformation of Trigonometric Functions

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Excel in math and science

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Excel in math and science

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Master advanced concepts through explanations,
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Learn from a vibrant community of students and enthusiasts,
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Master advanced concepts through explanations,
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Learn from a vibrant community of students and enthusiasts,
including olympiad champions, researchers, and professionals.

Master advanced concepts through explanations,
examples, and problems from the community.

Learn from a vibrant community of students and enthusiasts,
including olympiad champions, researchers, and professionals.

Master advanced concepts through explanations,
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Learn from a vibrant community of students and enthusiasts,
including olympiad champions, researchers, and professionals.

Master advanced concepts through explanations,
examples, and problems from the community.

Learn from a vibrant community of students and enthusiasts,
including olympiad champions, researchers, and professionals.

Master advanced concepts through explanations,
examples, and problems from the community.

Learn from a vibrant community of students and enthusiasts,
including olympiad champions, researchers, and professionals.

Master advanced concepts through explanations,
examples, and problems from the community.

Learn from a vibrant community of students and enthusiasts,
including olympiad champions, researchers, and professionals.