Concept explainers
To write:The equation of parabola in standard form, whose graph is given, and verify the result using graphing utility.
Answer to Problem 34E
The standard equation of the graphed parabola is
Explanation of Solution
Given data:
The graph of the parabola is shown in Figure-1 here.
Concept used:
Everyquadratic function represents a parabola. Thestandard form ofquadratic function
Calculations:
Let the standard quadratic function of given graphed parabola is
The vertex of given parabola (from figure) is
Thus, we have
Given parabola passes through point
Therefore, from equation (2)
Thus, the standard form of the given parabola is
Now, the quadratic function
Since,
The graph of the function
We observe that the graph of function
Conclusion:
The standard equation of the graphed parabola is
Chapter 2 Solutions
PRECALCULUS W/LIMITS:GRAPH.APPROACH(HS)
- 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