How to find a quadratic equation from a graph calculator

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Quadratic Formula Calculator

What do you want to calculate?

Example: 2x^2-5x-3=0

Step-By-Step Example

Learn step-by-step how to use the quadratic formula!

Example (Click to try)

2x2−5x−3=0

About the quadratic formula

Solve an equation of the form ax2+bx+c=0 by using the quadratic formula:

x=

Quadratic Formula Video Lesson

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Let us look at the following example.

Solve #2x^2+5x-3=0# for #x#.

(Be sure to move all terms to the left-hand side so that you have zero on the right-hand side.)

Step 1: Go to "Y=" and type in the quadratic function.

Step 2: Go to "WINDOW" to set an appropriate window size.

Step 3: Go to "CALC", and choose "zero".

Step 4: It will say "Left Bound?", so move the cursor to the left of the zero and press "ENTER".

Step 5: It will say "Right Bound?", so move the cursor to the right of the zero and press "ENTER".

Step 6: It will say "Guess?", then move the cursor as close to the zero as possible and press "ENTER".

Step 7: The zero (#X=-3#) is displayed at the bottom of the screen.

Step 8: Repeat Step 3-7 to find the other zero (#X=0.5#).

I hope that this was helpful.

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.

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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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