Concept explainers
To find: the equation of the parabola.
Answer to Problem 50E
The equation of parabola is
Explanation of Solution
The equation of parabola is
Given information:
From the given figure it can be observed that,
The graph of the parabola opens to the upwards and parabola has vertical axis.
Slope of the line which going through the focus of parabola.
The sloping line x-coordinate is
Calculation:here, the graph of parabola opens to the downwards, so
Because the parabola has vertical axis,
So the equation of parabola should be in the following form,
The line equation is
Line passes form the focus so, substitute the value of
So,
Since
So the point on parabola will be
So the equation of parabola is,
Hence, the equation of parabola is
Chapter 11 Solutions
Precalculus: Mathematics for Calculus - 6th Edition
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- Calculus: Early TranscendentalsCalculusISBN:9781319050740Author:Jon Rogawski, Colin Adams, Robert FranzosaPublisher:W. H. FreemanCalculus: Early Transcendental FunctionsCalculusISBN:9781337552516Author:Ron Larson, Bruce H. EdwardsPublisher:Cengage Learning