Answered: y = tan x 4

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter6: The Trigonometric Functions

Section: Chapter Questions

Problem 50RE

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Question

Graph the function by hand, not by plotting points, but
by starting with the graph of one of the standard functions and
then applying the appropriate transformations.

Expert Solution

Step 1

Consider the given expression is,

$y = \frac{1}{4} \tan (x - \frac{π}{4})$

The graph for the above equation is obtained by first plotting for $y = \tan x$ . as shown in Figure 1

Step 2

Then, shift the graph of $y = \tan x$ to the right a distance $\frac{π}{4}$ to obtain the graph for $y = \tan (x - \frac{π}{4})$ as shown in Figure 2

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