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

\frac{1}{8}

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

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

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

\cos (x+31\pi)

罪\ \离开(x + \压裂{\π}{2}\右)

\sin (x+31\pi)

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

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}

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}

.

Graphical Transformation of Trigonometric Functions