Concept explainers
To find the standard equation of the parabola with the information provided.
Answer to Problem 12RE
Explanation of Solution
Given information:
Vertex:
Point:
Formula used:
Standard equation of a parabola:
Calculation:
Substitute the value of
Substitute the point
Substituting the value of
Hence, the standard form of the equation is obtained as
Graph:
Interpretation:
Using a graphing utility, the above parabola is obtained in which the curve passes through the point
Therefore, the result is verified.
Chapter 2 Solutions
Precalculus with Limits: A Graphing Approach
- 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