In this lesson, we will learn
We can write quadratic functions in different ways or forms.
The general form of a quadratic equation is
y = ax2 + bx + c where a, b and c are real numbers and a is not equal to zero.
For example,
y = 2x2 + 5x − 30
The factored form of a quadratic equation is
y = a(x + b)(x + c) where a, b and c are real numbers and a is not equal to zero.
For example, y = 2(x + 6)(x − 5)
The vertex form of a quadratic equation is
y = a(x − h)2 + k where a, h and k are real numbers and a is not equal to zero.
For example, y = 2(x + 6)2 − 5
The following video looks at the various formats in which Quadratic Functions may be written as.
The following videos show how to change quadratic functions from general form to factored form.
We can change a quadratic function from general form to vertex form by using the vertex formula.
Example of how to convert standard form to vertex form of a parabola equation.
We can change a quadratic function from general form to vertex form by completing the square.
The following video shows how to use the method of Completing the Square to convert a quadratic function from standard form to vertex form
Try out our new and fun Fraction Concoction Game.
Add and subtract fractions to make exciting fraction concoctions following a recipe. There are four levels of difficulty: Easy, medium, hard and insane. Practice the basics of fraction addition and subtraction or challenge yourself with the insane level.
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