# Vertex Calculator

The vertex of a parabola is defined as the point where exactly it turns. It is also called the minimum point.

## What is Vertex Calculator?

'Cuemath's Vertex Calculator' is an online tool that helps to calculate the coordinates of the vertex point for a given parabola equation. Cuemath's online Vertex Calculator helps you to calculate the coordinates of the vertex point within a few seconds.

## How to Use Vertex Calculator?

Please follow the steps below on how to use the calculator:

**Step1:**Enter the coefficients of a, b, and c in the given input boxes.**Step 2:**Click on the**"Solve"**button to find the coordinates of the vertex point.**Step 3:**Click on the**"Reset"**button to clear the fields and enter new values.

## How to Find Vertex?

In the standard form, we write the quadratic equation as y = ax^{2} + bx + c

In the standard form, the vertex (V) of the parabola is given by

**V = ( -b /2a , -D / 4a)**

Where D is discriminant = b^{2} - 4ac

The vertex equation of a parabola is of the form y = a(x - h)^{2} + k

The vertex of the parabola is at the coordinate (h, k)

**The vertex of the parabola (h, k) = ( -b /2a , -D / 4a)**

Let's see an example to understand briefly.

**Solved Example:**

Find the coordinates of the vertex for a given parabola equation y = 2x^{2} + 3x + 4

**Solution:**

Given: y = 2x^{2 }+ 3x + 4

Here a = 2, b = 3, c = 4

The vertex of the parabola (h, k) = ( -b /2a , -D / 4a)

(h , k)= ( -3 / 4 , -23 / 8)

Similarly, you can try the calculator to find the coordinates of the vertex for a given parabola equation

- y = 2x
^{2}+ 4x + 3 - y = 5x
^{2}+ 7x + 5

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