# Quadratic Function Calculator

The word "Quadratic" is derived from the word "Quad" which means square. In other words, a quadratic equation is an “equation of degree 2”. Quadratic equations are second-degree algebraic expressions and are of the form ax^{2} + bx + c = 0.

## What is a Quadratic Function Calculator?

'**Quadratic Function Calculator**' is an online tool that helps to compute the graph for a given quadratic function. Online Quadratic Function Calculator helps you to compute the graph for a given quadratic function in a few seconds.

### Quadratic Function Calculator

**NOTE:** Enter function in terms of 'x' only.

## How to Use Quadratic Function Calculator?

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

**Step 1:**Enter the function with respect to x in the given input box.**Step 2:**Click on the**"Compute"**button to display the graph for the given quadratic function**Step 3:**Click on the**"Reset"**button to clear the fields and solve for different quadratic functions.

## How to Find Quadratic Function?

**An equation of the form y = f(x) = ax ^{2 }+ bx + c, **where a ≠ 0 is called a quadratic function and a, b, c are coefficients of the quadratic function. When a quadratic equation is plotted in a graph, the graph obtained is a parabola in shape

Let's see an example to understand briefly.

**Solved Example on Quadratic Function Calculator**

**Example:**

Compute the graph for y = f(x) = 5x^{2} + 6x + 3

**Solution:**

For x = 0, y = 5(0) + 6(0) + 3 ⇒ y = 3

For x = 1, y = 5(1) + 6(1) + 3 ⇒ y = 14

For x = 2, y = 5(4) + 6(2) + 3 ⇒ y = 35

Similarly for x = 3, x = 4, and .....

Plot these points in the graph

Similarly, you can use the calculator to compute the given quadratic functions:

- y = f(x) = 3x
^{2}- 5x + 5 - y = f(x) = 6x
^{2}+ 3x - 11

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