# Vertex of a Quadratic Equation

Lesson Objective
In this lesson, we will learn how to find the vertex of a quadratic equation.
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.

# Study Tips

Tip #1
The general quadratic equation is given as:

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.

Graph with a Highest Point

Graph with a Lowest Point

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

Where a and b are the coefficients in the general quadratic equation shown below:

# Math Video

Lesson Video
Math Video Transcript

# Practice Questions & More

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
Site-Search and Q&A Library

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