Concept explainers
Locating the Vertex of a Parabola In Exercises 1 through 4, find the vertex of the parabola that is the graph of the given quadratic function of
The vertex of the parabola and to graph the given quadratic function
Answer to Problem 1E
Solution:
Vertex of the parabola occurs at the point
Explanation of Solution
Approach:
The graph of quadratic functions is a parabola. A quadratic expression has the form
Ex:
It is in the form
We refer this vertex as maximum or minimum point of a parabola. The vertex of the parabola is given as
Vertex is at
As the leading coefficient
If
Ex:
It is in the form
We refer this vertex as maximum or minimum point of a parabola. The vertex of the parabola is given as
Vertex is at
As the leading coefficient
Calculation:
Given function is
It is in the form of quadratic function
Vertex is at
Since the leading coefficient
Final statement:
The vertex of the parabola occurs at a point
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