Concept explainers
To Find: The vertex, focus and directive of parabola and draw a graph
Answer to Problem 5RE
Vertex
Focus=
Directive is
Explanation of Solution
Given information:
Graph :
Converting this equation in a standard form by completing square,
Comparing with
h=-2, k=2, 4p=1
(h,k)=(-2,2) and p=
Vertex= (h,k)=(-2,2)
Focus= (h+p,k)=
Directives:
The parabola of form
In the given question,
Here, a= 1 > 0 hence opens right.
Interpretation :
Since, the parabola will be symmetric through x-axis, from the vertex draw symmetric curve opening towards right.
Chapter 11 Solutions
Precalculus: Mathematics for Calculus - 6th Edition
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- Calculus: Early TranscendentalsCalculusISBN:9781319050740Author:Jon Rogawski, Colin Adams, Robert FranzosaPublisher:W. H. FreemanCalculus: Early Transcendental FunctionsCalculusISBN:9781337552516Author:Ron Larson, Bruce H. EdwardsPublisher:Cengage Learning