Q. 505 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. 505 (page 986)

In the following exercises, graph each function using transformations:
$f (x) = {(x - 4)}^{2} - 3$

Short Answer

Expert verified

The graph of the function is shown below:

Step by step solution

Step 1. Given information.

We have:

$f (x) = {(x - 4)}^{2} - 3$

Step 2. Consider the parent function and make a point table.

Consider the parent function:

$y = x^{2}$

Substitute $x = - 2$ into the equation:

$y = {(- 2)}^{2} = 4$

Similarly, find the values of $y = x^{2}$ at $x = - 1, 0, 1, 2$ into the original equation at present them in table below:

x	-2	-1	0	1	2
y	4	1	0	1	4

Step 3. Draw the figure of parent function using table.

Plot the points from the table and draw the curve through plotted points.

Step 4. Draw the graph of original function using transformation.

Translate the graph of the parent function $y = x^{2}$ .

Horizontally translate the graph of $f (x) = x^{2}$ to $4$ units right to obtain the graph of $f (x) = {(x - 4)}^{2}$ . Vertically translate the graph of $f (x) = {(x - 4)}^{2}$ to $3$ units down to obtain the graph of $f (x) = {(x - 4)}^{2} - 3$ .

Unlock Step-by-Step Solutions & Ace Your Exams!

Full Textbook Solutions
Get detailed explanations and key concepts
Unlimited Al creation
Al flashcards, explanations, exams and more...
Ads-free access
To over 500 millions flashcards
Money-back guarantee
We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91影视!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Recommended explanations on Math Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

91影视

In the following exercises, graph each function using transformations:
$f (x) = {(x - 4)}^{2} - 3$

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Consider the parent function and make a point table.

Step 3. Draw the figure of parent function using table.

Step 4. Draw the graph of original function using transformation.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Geometry

Pure Maths

Statistics

Mechanics Maths

Applied Mathematics

Calculus

Study anywhere. Anytime. Across all devices.

91影视

In the following exercises, graph each function using transformations:f(x)=x-42-3

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Consider the parent function and make a point table.

Step 3. Draw the figure of parent function using table.

Step 4. Draw the graph of original function using transformation.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Geometry

Pure Maths

Statistics

Mechanics Maths

Applied Mathematics

Calculus

Study anywhere. Anytime. Across all devices.

In the following exercises, graph each function using transformations:
$f (x) = {(x - 4)}^{2} - 3$