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Applications of Quadratic Equations

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More Lessons for Basic Algebra

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A series of free Basic Algebra Lessons.
How to find the vertex and axis of symmetry of a quadratic equation?
How to solve word problems using quadratic equations?

The Vertex and Axis of Symmetry
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.
In this video we find the vertex, axis of symmetry, domain and range, and x and y intercepts for a quadratic function algebraically.
Finding the Vertex and Axis of Symmetry

Applications of Quadratic Equations
In Algebra I and Algebra II, we sometimes need to solve word problems using quadratic equations. When solving word problems, some common quadratic equation applications include projectile motion problems and Geometry area problems. The most important thing when solving these types of problems is to make sure that they are set up correctly so we can use the quadratic equation to easily solve them.

This video solves a quadratic word problem that involves the area of a rectangle.
Solving Word Problems involving Distance, Rate, and Time Using Quadratics

Solving projectile problems with quadratic equations.
Application Problem with Quadratic Formula (Projectile Problem)

Rotate to landscape screen format on a mobile phone or small tablet to use the Mathway widget, a free math problem solver that answers your questions with step-by-step explanations.

You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.

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