Graphing Quadratics (Parabolas) - Cool math Algebra Help Lessons - Making the Connection Between Solving and Graphing (Intercepts)

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Graphing Quadratics Lesson 10 - Making the Connection Between Solving and Graphing (Intercepts) (page 1 of 5)
---- This algebra lesson explains the connection between solving and graphing quadratics - finding the x and y intercepts on the graph.

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We've learned two really important things in recent chapters:

How to solve a quadratic = 0 :

How to graph a quadratic:

Now, let's make the connection between the two! I'll explain it with an example:

Let's graph this guy:

y = 3x^2 - 1 ... right side up, 3 times as tall, shifted down 1

graph of y = 3x^2 - 1

But, there's one other really important thing we need to know:

Where does this guy cross the x-axis?

From our graph, it LOOKS like it might be around x = - .6 and x = .6 ... How can we be sure?

Continued on the next page

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