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Chapter 9: Q8. (page 597)

Describe how the graph of each function is related to the graph off(x)=x2.

 g(x)=  x2−5

Short Answer

Expert verified

The graphg(x)=  x2−5 is shifted down 5 units from the parent functionf(x)=  x2.

Step by step solution

01

Step 1. State the concept.

The graph of f(x)=x2+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.

02

Step 2. Graph each function. 

The graph of the functionsf(x)=x2 andg(x)=x2−5 is given by:

03

Step 3. State the interpretation of the graph.

Since c=5, the translation is 5 units down. So, the graph g(x)=x2−5is shifted down 5 units from the parent function f(x)=x2.

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Most popular questions from this chapter

Graph each function. Find the y-intercept, and state the domain and range.

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