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3.09 Graphing tangent functions

Interactive practice questions

Choose the statement that best describes how to get the graph of $y=-5\tan x$y=5tanx from the parent function $y=\tan x$y=tanx.

The graph of $y=\tan x$y=tanx has been stretched vertically.

A

The graph of $y=\tan x$y=tanx has been stretched vertically and reflected across the $x$x-axis.

B

The graph of $y=\tan x$y=tanx has been compressed vertically and reflected across the $x$x-axis.

C

The graph of $y=\tan x$y=tanx has been compressed vertically.

D
Easy
< 1min

The graph of $y=\tan x$y=tanx is shown below. On the same set of axes, draw the graph of $y=5\tan x$y=5tanx.

Easy
2min

Consider the graph of $y=\tan x$y=tanx shown below. Drag the control points to draw the graph of $y=\frac{1}{2}\tan x$y=12tanx on the same axes.

Easy
1min

Consider the graph of $y=\tan x$y=tanx shown below. On the same set of axes, draw the graph of $y=-\frac{1}{3}\tan x$y=13tanx.

Easy
1min
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Outcomes

F.TF.B.5

Choose trigonometric functions to model periodic phenomena with specified amplitude, frequency, and midline.

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