The Vertex and Axis of Symmetry - Concept

Concept Concept (1)

In a parabola, the vertex is the highest or lowest point on a parabola. To calculate the vertex of a parabola, we can first calculate the x-value by dividing the opposite of the " b" value by 2 times the "a" value. The vertex is the highest point if the parabola opens downward and the lowest point if the parabola opens upward. The axis of symmetry is the line that cuts the parabola into 2 matching halves and the vertex lies on the axis of symmetry.

Sample Sample Problems (8)

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The Vertex and Axis of Symmetry - Problem 1

Find the vertex of

f(x) = x² + 6x + 8
Problem 1
How to find the vertex and axis of symmetry of a parabola when they are whole numbers.
The Vertex and Axis of Symmetry - Problem 2

Find the vertex of f(x) = x² + 3x + 4. Write the equation for the axis of symmetry.

Problem 2
How to find the vertex and axis of symmetry of a parabola when they are fractional values.
The Vertex and Axis of Symmetry - Problem 4
Problem 4
Vertex as the maximum value.
The Vertex and Axis of Symmetry - Problem 5
Problem 5
Finding the vertex of a quadratic function.
The Vertex and Axis of Symmetry - Problem 6
Problem 6
Graphing parabolas using transformations.
The Vertex and Axis of Symmetry - Problem 7
Problem 7
Maximizing rectangular area.
The Vertex and Axis of Symmetry - Problem 8
Problem 8
Using a table of values to graph a parabola.