How to Write Quadratic Equations in Standard Form & Determine the Constants

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Writing a quadratic equation in standard form will require you to determine the constants. Write a quadratic equation in standard form and determine the constants with help from a professional private tutor in this free video clip.

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Video Transcript

Hi, I'm Rachel, and today we're going to be going over how to write quadratic equations in standard form and determine the constants. Standard form looks like this, y equals a x-squared plus bx plus c. So we want to find that. We're usually given a graph, right? Of a parabola, where we can find points, and we're going to be using y minus y1, equals a times x minus x1, quantity squared, to get to this, the standard form. In order to do that, we're gonna use the points we have on the graph to find a first. So you have points, you can substitute them in for y, y1, x and x1, and, you know, add that all up, and end up getting the answer for a. And then once you have a, you can plug that back in, and that's how you get your b and your c, and you can determine the constants x and y are the variable, right? That we're gonna be trying to solve in each case, and a, b and c will be the coefficients and will have number values for all of those. That's it. I'm Rachel and thanks for learning with us today.


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