Wize Grade 11 Mathematics Textbook > Review Material

Review of Quadratic Equations

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Review of Quadratic Equations
What is a Quadratic Equation?
A Quadratic Equation is an equation that can be written in the form y=ax2+bx+cy=ax^2+bx+cy=ax2+bx+c where a, b, and c are all real numbers and a, is not zero.  

When a quadratic equation is written this way, we say that it is in Standard Form.

Example 1

The following are all quadratic equations. .
y=2x2−3x+1y=2x^2-3x+1y=2x2−3x+1
y=−13x2+7x−5y=-\frac{1}{3}x^2+7x-5y=−31​x2+7x−5
y=4x2−16y=4x^2 -16y=4x2−16
y=x(x−6)+2y=x(x-6) + 2y=x(x−6)+2, this can be expanded to become y=x2−6x+2y=x^2 - 6x + 2y=x2−6x+2
y=(2x−1)(x+2)y=(2x-1)(x+2)y=(2x−1)(x+2), this can be expanded to become y=2x2+3x−2y=2x^2+3x-2y=2x2+3x−2
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Graphs of Quadratic Equations
The graph of a quadratic equation has a U shape.  This could be facing up or down, but continues infinitely in both directions.


 