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)?

Algebra ->  Linear-equations -> 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)?       Log On


   

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) About Me  (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