Explanation Given: The given quadratic function is y = f ( x ) − c . Calculation: The graph of the function y = f ( x ) is a parabola since it is a quadratic function. And the graph of y = f ( x ) − c is a vertical translation of y = f ( x ) To determine (b) To check: The function y = f ( x − c ) has a double root for a unique value of c.

3rd Edition

ISBN: 9781464125263

Author: Jon Rogawski, Colin Adams

Publisher: W.H. Freeman & Co

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Chapter 1.2, Problem 48E

To determine

(a)

To check: The function y=f(x)−c has a double root for a unique value of c.

To determine

(b)

To check:

The function y=f(x−c) has a double root for a unique value of c.

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Chapter 1.2, Problem 47E

Chapter 1.2, Problem 49E

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Chapter 1 Solutions

Calculus - Standalone book

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(a) To check: The function y = f ( x ) − c has a double root for a unique value of c.

Solution Summary: The author concludes that the function y=f(x)-c has a double root for the unique value of c.

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(a)

To check: The function y=f(x)−c has a double root for a unique value of c.

(b)

To check:

The function y=f(x−c) has a double root for a unique value of c.

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Chapter 1 Solutions

(a) To check: The function y = f ( x ) − c has a double root for a unique value of c.

Solution Summary: The author concludes that the function y=f(x)-c has a double root for the unique value of c.

Concept explainers

Videos

(a) To check: The function y=f(x)−c has a double root for a unique value of c.

(b) To check: The function y=f(x−c) has a double root for a unique value of c.

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Chapter 1 Solutions

(a)

To check: The function y=f(x)−c has a double root for a unique value of c.

(b)

To check:

The function y=f(x−c) has a double root for a unique value of c.