Vertex of a Quadratic Equation

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Lesson Objective
In this lesson, we will learn how to find the vertex of a quadratic equation.
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About This Lesson
In this lesson, we will:
  1. Learn what is the vertex of a quadratic equation.
  2. Learn the formula to find the x-coordinate of the vertex.
  3. See some examples on using the formula to find the coordinates of the vertex.
The study tips and math video below will explain more.
vertex of a quadratic graph

Study Tips

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Tip #1
The general quadratic equation is given as:

multiply 3/5 with 100
Where a, b and c are the coefficients of each term respectively. Now, the graph of a quadratic equation will always have a highest point or a lowest point depending on the value of a. This point is called the Vertex. The pictures below will illustrate this.
vertex is located at the highest point when 'a' is negative
Graph with a Highest Point
vertex is located at the lowest point when 'a' is positive
Graph with a Lowest Point

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Tip #1 - Vertex Formula
The formula to find the x-coordinate of the vertex is shown below:

vertex quadratic x-coordinate formula, x= -b/2a
Where a and b are the coefficients in the general quadratic equation shown below:
general quadratic equation, y = ax^2+bx+c

Math Video

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Lesson Video
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Math Video Transcript

Practice Questions & More

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Multiple Choice Questions (MCQ)
Now, let's try some MCQ questions to understand this lesson better.

You can start by going through the series of questions on vertex of a quadratic equation or pick your choice of question below.
  1. Question 1 on finding the vertex of a quadratic equation
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