Vertex: (0,0); contains (-3,-4) and (-3,4)...

Find the equation.. Please help me or just give me an idea on how to do this problem... Thanks!

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- Feb 22nd 2010, 10:24 PMlanceEquation of a parabola
Vertex: (0,0); contains (-3,-4) and (-3,4)...

Find the equation.. Please help me or just give me an idea on how to do this problem... Thanks! - Feb 22nd 2010, 10:39 PMProve It
A parabola can be written as

$\displaystyle y = a(x - h)^2 + k$, where $\displaystyle h$ is the $\displaystyle x$ coordinate of the vertex and $\displaystyle k$ is the $\displaystyle y$ coordinate of the vertex.

So so far we know $\displaystyle y = a(x - 0)^2 + 0$

$\displaystyle y = ax^2$.

Now substitute one of the other points and solve for $\displaystyle a$.