Answered: y = tan x 4

Holt Mcdougal Larson Pre-algebra: Student Edition 2012

1st Edition

ISBN:9780547587776

Author:HOLT MCDOUGAL

Publisher:HOLT MCDOUGAL

Chapter9: Real Numbers And Right Triangles

Section9.5: The Distance And Midpoint Formulas

Problem 3C

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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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