Explanation Given: The provided function, f ( x ) = - 1 4 x 2 . Graph: Consider the provided function, f ( x ) = - 1 4 x 2 . Step 1: The coefficients of x 2 is a = - 1 4 < 0 . Therefore, the graph of the function is downwards. Step 2: The vertex of the curve is ( 0 , 0 ) . Use completing the square method for f ( x ) = 3 x 2 . Represent the provided function in the form of y = ( x − h ) 2 + k , where ( h , k ) are vertex as shown below: f ( x ) = − 1 4 x 2 = − 1 4 ( x − 0 ) 2 + 0 Hence, the coordinates of vertex are ( 0 , 0 ) . Step 3: To find the y intercepts, evaluate f ( 0 ) as: f ( 0 ) = - 1 4 × ( 0 ) = 0 i

Mathematical Ideas (13th Edition) - Standalone book

13th Edition

ISBN: 9780321977076

Author: Charles D. Miller, Vern E. Heeren, John Hornsby, Christopher Heeren

Publisher: PEARSON

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Chapter 8.5, Problem 21E

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To graph: The provided quadratic function f(x)=-14x2 and to indicate the coordinates of vertex and two additional points on the graph.

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Chapter 8.5, Problem 20E

Chapter 8.5, Problem 22E

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Chapter 8 Solutions

Mathematical Ideas (13th Edition) - Standalone book

Ch. 8.1 - Fill in each blank with the correct response. 1....Ch. 8.1 - Fill in each blank with the correct response. For...Ch. 8.1 - Prob. 3E Ch. 8.1 - Prob. 4E Ch. 8.1 - Prob. 5E Ch. 8.1 - Prob. 6E Ch. 8.1 - Locate the following points on the rectangular...Ch. 8.1 - Locate the following points on the rectangular...Ch. 8.1 - Prob. 9E Ch. 8.1 - Locate the following points on the rectangular...

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To graph: The provided quadratic function f ( x ) = - 1 4 x 2 and to indicate the coordinates of vertex and two additional points on the graph.

Solution Summary: The author describes the provided quadratic function f(x)=-14x

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To graph: The provided quadratic function f(x)=-14x2 and to indicate the coordinates of vertex and two additional points on the graph.

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Chapter 8 Solutions