Q. 503 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. 503 (page 986)

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. Consider the parent function and make a point table.

The parent function is $y = x^{2}$ .

Substitute $x = - 2$ in the equation:

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

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

x	-2	-1	0	1	2
f(x)	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 $3$ units left get the graph $y_{1} = {(x + 3)}^{2}$ . Translate the graph of the parent function $y_{1} = {(x + 3)}^{2}$ vertically $2$ units below to get the graph $y_{1} = {(x + 3)}^{2} - 2$

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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. 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.

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91影视

In the following exercises, graph each function using transformations:f(x)=x+32-2

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

Pure Maths

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Probability and Statistics

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Study anywhere. Anytime. Across all devices.

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