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 ax² + 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) = ax² + 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) = 5x² + 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) = 3x² - 5x + 5
• y = f(x) = 6x² + 3x - 11

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• Quadratic function
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