Concept explainers
Towrite:The standard form of the quadratic function whose graph is a parabola with the indicated vertex and that passes through the indicated point.
Answer to Problem 12CR
The standard form of the quadratic function that represents a parabola with vertex
Explanation of Solution
Given information:
The vertex of parabola is
Formulaused:
The standard form of a quadratic function that represents a parabola is
Calculations:
Let the standard form of the quadratic function that represents a parabola with vertex
Therefore, we have
Substituting values of h, k in equation (1)
Equation (2) represents the parabola passing through
Substituting
Thus, the standard form of the quadratic function that represents a parabola with vertex
Conclusion:
The standard form of the quadratic function that represents a parabola with vertex
Chapter 2 Solutions
PRECALCULUS W/LIMITS:GRAPH.APPROACH(HS)
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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