SOLUTION: Y = 3x^2. This is a parabola with the opening up, and a vertex of (0,0). My question: How do I know the opening is up, and how do I find out the vertex is (0,0)?

SOLUTION: Y = 3x^2. This is a parabola with the opening up, and a vertex of (0,0). My question: How do I know the opening is up, and how do I find out the vertex is (0,0)?

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Question 282616: Y = 3x^2. This is a parabola with the opening up, and a vertex of (0,0).
My question: How do I know the opening is up, and how do I find out the vertex is (0,0)?
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!

The standard form of a parabola is:

Your equation is:

A parabola opens upward when the coefficient on

is positive and downward when it is negative. If it is zero, you don't have a parabola at all.

The vertex of such a parabola is at the point

The

-coordinate of your vertex is

, so the

-coordinate is

And your vertex is at (0, 0)

John

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