Concept explainers
To find: The vertex, focus, directrixand the graph of the parabola.
Answer to Problem 44E
The vertex, focus and the directrix of the parabola are
Explanation of Solution
Given information:
The equation of the parabola is given,
Concept used:
Write the standard equation of a parabola along the vertical axis.
For this equation, the focus is at
Write the standard equation of a parabola along the horizontal axis.
For this equation, the focus is at
The equation of the parabola can be written as,
Write the standard equation of a parabola along the vertical axis.
Compare given and the standard equation of the parabola to get,
The vertex of the parabola is,
The focus of the parabola is,
The directrix of the parabola is,
Consider the following graph of the parabola of the given equation,
Thus, the vertex, focus and the directrix of the parabola are
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