Q. 542 In the following exercises, grap... [FREE SOLUTION]

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Intermediate Algebra

OPENSTAX

$Math Studyset 91影视 Explanations$ Math

OER 2017 Edition 路 1346 pages

ISBN: 9780998625720

Chapter 9: Q. 542 (page 988)

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

Short Answer

Expert verified

The graph of the function is shown below:

Step by step solution

Step 1. Given information.

We have:

$f (x) = {(x + 3)}^{2} + 2$

Step 2. Make the table point.

First, graph for the function $y = x^{2}$ .

Calculate $y$ for $x = 0 :$

$y = 0$

Similarly find the values of $y$ for different values of $x .$

x	y
0	0
1	1
-1	-1

Step 3. Draw the graph using transformations.

Plot the points shown in the table. Join the points to find the graph of $y = x^{2}$ . Shift the graph $3$ units left and then shift the graph 2 units upwards:

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91影视

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

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Make the table point.

Step 3. Draw the graph using transformations.

One App. One Place for Learning.

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91影视

In the following exercises, graph each function using transformations.fx=x+32+2

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Make the table point.

Step 3. Draw the graph using transformations.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Decision Maths

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Probability and Statistics

Study anywhere. Anytime. Across all devices.

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