Parabola

**lax600** · December 3rd 2008, 05:39 PM

Write the equation of the parabola in standard form that passes through the points (2,7),(-1,10), and (0,5)

help me please! I don't remember how to do this and I have a test tomorrow

**skeeter** · December 3rd 2008, 05:46 PM

$a(2)^2 + b(2) + c = 7$

$a(-1)^2 + b(-1) + c = 10<br />$

$a(0)^2 + b(0) + c = 5$

solve the system for the coefficients a, b, and c

**lax600** · December 3rd 2008, 07:05 PM

and then plot what value you get for the x value you plug in?

**terr13** · December 3rd 2008, 07:08 PM

When you get a,b,c you can write the equation in the form $ax^2 +bx +c$ . That would be the equation of a parabola.

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