Concept explainers
Find the standard form of the equation of the parabola with vertex (3, -4) and focus (6, -4)
Answer to Problem 8CT
The equation of the parabola is
Explanation of Solution
Given:Vertex is (3, -4) and focus is (6, -4)
Calculation:
We transform the rectangular axes by shifting the origin (0, 0) to the vertex (3, -4).
Let,
Therefore, the new vertex of the parabola is given by
We know the equation of the parabola with vertex at (0, 0) and focus at (a, 0) is given by
Hence, the parabola with vertex at (0, 0) and focus at (3, 0) is given by
Now, again using the transformation we have:
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