Q. 500 In the following exercises, grap... [FREE SOLUTION]

91影视

Intermediate Algebra

OPENSTAX

$Math Studyset 91影视 Explanations$ Math

OER 2017 Edition 路 1346 pages

ISBN: 9780998625720

Chapter 9: Q. 500 (page 986)

In the following exercises, graph each function using a horizontal shift.
$f (x) = {(x + 1)}^{2}$

Short Answer

Expert verified

The graph of the function is shown below:

Step by step solution

Step 1. Given information.

We have:

$f (x) = {(x + 1)}^{2}$

Step 2. Find the points lying on the function.

The parent function of the given function $f (x) = {(x + 1)}^{2}$ is $g (x) = x^{2}$ .

Note that $f (x)$ is simply a horizontal shift of one unit to the left of it's parent function $g (x) .$

So, by translating the graph of $g (x) = x^{2},$ one unit to the left, the graph of $f (x)$ is obtained.

$g (x) = x^{2}$

Substitute $x = 0 :$

$f (0) = 0^{2} = 0$

x	g(x)
0	0
1	1
-1	1
2	4

Similarly, the other points lying on function g(x)can be obtained.

Step 3. Plot the points from the table

Draw a smooth curve through them. The graph of $g (x) = x^{2}$ is shown below. Shift the graph one unit to the left horizontally to get the graph of $f (x) = {(x + 1)}^{2}$ .

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91影视

In the following exercises, graph each function using a horizontal shift.
$f (x) = {(x + 1)}^{2}$

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Find the points lying on the function.

Step 3. Plot the points from the table

One App. One Place for Learning.

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91影视

In the following exercises, graph each function using a horizontal shift.f(x)=x+12

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Find the points lying on the function.

Step 3. Plot the points from the table

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Geometry

Statistics

Mechanics Maths

Applied Mathematics

Theoretical and Mathematical Physics

Decision Maths

Study anywhere. Anytime. Across all devices.

In the following exercises, graph each function using a horizontal shift.
$f (x) = {(x + 1)}^{2}$