Concept explainers
Find the vertex, focus and directrix of the parabola and sketch it
Answer to Problem 48E
Explanation of Solution
Given:
The equation of the parabola is
The equation of the parabola is
Axis of parabola is horizontal and above equation can be written as,
Simplifying
The standard form of the equation of the parabola is as follows:
Comparing this with equation (1), we get
Thus, the vertex of the parabola is at origin
Also,
Since, the value of
As, the directrix is given as,
Thus, the directrix of the parabola is
Finally, since the parabola opens to the rightt hand side, the focus is located at
Thus, the focus is
The graph of the parabola
Chapter 10 Solutions
EBK PRECALCULUS W/LIMITS
- Calculus: Early TranscendentalsCalculusISBN:9781285741550Author:James StewartPublisher:Cengage LearningThomas' Calculus (14th Edition)CalculusISBN:9780134438986Author:Joel R. Hass, Christopher E. Heil, Maurice D. WeirPublisher:PEARSONCalculus: Early Transcendentals (3rd Edition)CalculusISBN:9780134763644Author:William L. Briggs, Lyle Cochran, Bernard Gillett, Eric SchulzPublisher:PEARSON
- Calculus: Early TranscendentalsCalculusISBN:9781319050740Author:Jon Rogawski, Colin Adams, Robert FranzosaPublisher:W. H. FreemanCalculus: Early Transcendental FunctionsCalculusISBN:9781337552516Author:Ron Larson, Bruce H. EdwardsPublisher:Cengage Learning