Concept explainers
To find: The standard form of the equation of the parabola with focus
Answer to Problem 90E
The standard form of the equation of the parabola with focus
Explanation of Solution
Given information:
The focus of the parabola is at
Calculation:
The directrix parabola is parallel to
The standard form of general equation of a vertical axis parabola is
The general equation of directrix for vertical axis parabola is
This gives
The general form of focus of vertical axis parabola is
The focus of the parabola is
Add
Substitute
Substitute
Therefore, the standard form of the equation of the parabola with focus
Chapter 9 Solutions
Precalculus with Limits: A Graphing Approach
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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