# Parabola Equation that Passes Through 3 Points

## Original question text:

How do I find the quadratic equation for a parabola that goes through the points (0,3),(1,4),(-1,-6)?

I know the quadratic equation is ax^2+bx+c and I have tried using substitution but the values I get for a,b,and c do not work when I put them back into the equation to check my work. I do not know what else to do???? please help!## How can Algebrator help you with this problem?

Algebrator can easily solve problems such as the one you posted on Yahoo Answers.

Finding the Equation of a Parabola that passes through 3 given points is one of the many tasks available on the Wizard menu.

An example using your equation is described below.

You must first start by opening the Wizard and entering the 3 points.

An Explanation for each step is available by pressing the "Explain" button.

To control the method by which the system is solved, use the drop-down menu "Solution->Settings", where substitution is shown as an option.

Some Important features are:

1.Flash demos, found under the drop-down menu "Help->Tutors".

The demos are also available online at "https://softmath.com/demos/", where you may simply select any of the ".htm" files and the demo will play within your browser

2. Wizard button - for example, click the Wizard button and look under the category of "Parabola" to see the many useful templates for exploring linear equations.

3. The Explain button, which provides the mathematical logic involved in the selected step.

In order to isolate the variable, in this linear equation, we need to get rid of the coefficient that multiplies it.

This can be accomplished if both sides are divided by -2.

In order to complete the square in x,we first need to explicitly group all the x terms.

The rest of the terms remain ungrouped.

You can see the rest of the step-by-step solution process by clicking on the "solve step" button several times.

An explanation can be obtained by clicking on the "Explain" button at any step.

Finally you can also see the graphical representation of the solution.

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