Q8. Describe how the graph of each f... [FREE SOLUTION]

91影视

Algebra 1

Carter, Cuevas, Day, Holiday, Luchin

$Math Studyset 91影视 Explanations$ Math

Student Edition 路 801 pages

ISBN: 9780078884801

Chapter 9: Q8. (page 597)

Describe how the graph of each function is related to the graph of $f (x) = x^{2}$ .
$鈥� g (x) = 鈥夆赌� x^{2} 鈭� 5$

Short Answer

Expert verified

The graph $g (x) = 鈥夆赌� x^{2} 鈭� 5$ is shifted down 5 units from the parent function $f (x) = 鈥夆赌� x^{2}$ .

Step by step solution

Step 1. State the concept.

The graph of $f (x) = x^{2} + c$ represents a translation up or down of the parent graph. If $c$ is positive, then translation is up and if $c$ is negative then translation is down.

Step 2. Graph each function.

The graph of the functions $f (x) = x^{2}$ and $g (x) = x^{2} 鈭� 5$ is given by:

Step 3. State the interpretation of the graph.

Since $c = 5$ , the translation is 5 units down. So, the graph $g (x) = x^{2} 鈭� 5$ is shifted down 5 units from the parent function $f (x) = x^{2}$ .

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91影视

Describe how the graph of each function is related to the graph of $f (x) = x^{2}$ .
$鈥� g (x) = 鈥夆赌� x^{2} 鈭� 5$

Short Answer

Step by step solution

Step 1. State the concept.

Step 2. Graph each function.

Step 3. State the interpretation of the graph.

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91影视

Describe how the graph of each function is related to the graph off(x)=x2.鈥�g(x)=鈥夆赌�x2鈭�5

Short Answer

Step by step solution

Step 1. State the concept.

Step 2. Graph each function.

Step 3. State the interpretation of the graph.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Statistics

Theoretical and Mathematical Physics

Geometry

Decision Maths

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Calculus

Study anywhere. Anytime. Across all devices.

Describe how the graph of each function is related to the graph of $f (x) = x^{2}$ .
$鈥� g (x) = 鈥夆赌� x^{2} 鈭� 5$