Concept explainers
To write:The standard form of quadratic function that has indicated vertex and whose graph passes through given point, and verify the result using graphing utility.
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Answer to Problem 36E
The standard form of the required quadratic function is
Explanation of Solution
Given data:
The vertex of the graph of quadratic function (a parabolic curve) is
Concept used:
Everyquadratic function represents a parabola. Thestandard form of quadratic function
Calculations:
The standard quadratic function that represents a parabola with vertex
The vertex of given parabola is
Substituting values of
Given parabola passes through point
Substituting
Thus, the quadratic function
Since,
Verification of the given description of the quadratic function:
The graph of the function
From the graph, we observe that the graph of function
Conclusion:
The standard form of the described quadratic function is
Chapter 2 Solutions
PRECALCULUS W/LIMITS:GRAPH.APPROACH(HS)
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