Concept explainers
Find the standard equation of the parabola
Answer to Problem 24E
The equation of the parabola is
Explanation of Solution
Given:
The standard equation of a parabola with axis vertical is given as
Now, since the vertex is given to be at origin, we have
Thus, the equation reduces to
Also, it passes through the point (4, 6), so it must satisfy the equation of parabola
Substituting the values of x and y in equation (2), we get
Or
Or
Thus, substituting the value of p in equation (2), we get
Or
So, the standard equation of parabola which has vertex at origin and passes though point
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