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What is a Quadratic?

1. The name Quadratic comes from "quad" meaning square, because the variable gets squared (like x ²).

2. It is also called an "Equation of Degree 2" (because of the "2" on the x)

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The Standard Form of a Quadratic Equation looks like this:

a, b and c are known values. a can't be 0.

"x" is the variable or unknown (we don't know it yet).

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vertex

axis of symmetry

y-intercept

x-intercept

intervals of increase/decrease

domain

range

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What is standard form of a quadratic equation

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Completing the square for vertex form | Quadratic equations | Algebra I | Khan Academy

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Now that students have practice with completing the square, they have all of the tools they need to look at solving quadratic equations more abstractly and derive the quadratic formula. For some students, the algebraic manipulation in this section will seem overwhelming, but for others this section can bring home the connectedness between all they have learned about solving quadratic equations thus far. The main purpose of this section is to derive and build a conceptual understanding of the quadratic formula before using it to solve equations in the next section.

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How To Solve Quadratic Equations Using The Quadratic Formula

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Summary for characteristics of a quadratic in vertex form

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Zeros, Factored Form, Standard Form - Cut & Paste Activity

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End of the Unit Project

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Maximum and Minimum Value Word Problems - Quadratic Equations