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

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Coolmath Algebra
Graphing Quadratics Lesson 10 - Making the Connection Between Solving and Graphing (Intercepts) (page 5 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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Here's one more thing I want to point out... This takes us back to when we graphed lines in this form:

When we let , we get the y-intercept (where the graph crosses the y-axis).

y = m ( 0 ) + b which gives y = b and b is the y-intercept

We can do the same thing on these!

Check out the first guy we did:

Let

y = 3 x^2 - 1 ... y = 3 ( 0 )^2 -1 which gives y = -1

The graph of y = 3 x^2 -1 showing that the y-intercept is y = -1

Here's the second one we did:

Let

y = -2x^2 - 4x + 1 let x = 0 which gives y = 1

y = -2x^2 - 4x + 1 showing that the y-intercept is y = 1

Once you get the idea, you can get the y-intercept just by glancing!

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