Explanation Formula used: The standard form of the equation of the parabola with its axis along the y -axis and vertex at the origin is x 2 = 4 p y , where, ( 0 , p ) is focus of the parabola and y = − p is directrix of the parabola. Calculation: Consider the given points ( − 5 , − 5 ) and ( − 10 , − 20 ) . The vertex of the parabola is ( 0 , 0 ) . From the given points ( − 5 , − 5 ) and ( − 10 , − 20 ) the axis of the parabola is y -axis. To find the value of p substitute the point ( − 5 , − 5 ) in the formula given above as follows

Basic Technical Mathematics with Calculus (11th Edition)

11th Edition

ISBN: 9780134437736

Author: Allyn J. Washington, Richard Evans

Publisher: PEARSON

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Chapter 21.4, Problem 30E

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To find: The equation of the parabola passing through (−5,−5) and (−10,−20) and vertex at origin.

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Chapter 21.4, Problem 29E

Chapter 21.4, Problem 31E

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Chapter 21 Solutions

Basic Technical Mathematics with Calculus (11th Edition)

Ch. 21.1 - Find the distance between (−2, 6) and (5, −3). Ch. 21.1 - Prob. 2PE Ch. 21.1 - Prob. 1E Ch. 21.1 - Prob. 2E Ch. 21.1 - Prob. 5E Ch. 21.1 - In Exercises 5–14, find the distance between the...Ch. 21.1 - Prob. 7E Ch. 21.1 - Prob. 8E Ch. 21.1 - Prob. 9E Ch. 21.1 - Prob. 10E

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The equation of the parabola passing through ( − 5 , − 5 ) and ( − 10 , − 20 ) and vertex at origin.

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To find: The equation of the parabola passing through (−5,−5) and (−10,−20) and vertex at origin.

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Chapter 21 Solutions