Solve Parabola Equation: (10,0) ((13,27) (16,0)

Thread starter thedarkhawk10
Start date Mar 23, 2010
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Parabola

AI Thread Summary

To find the equation of the parabola given the points (10,0), (13,27), and (16,0), three equations are needed to solve for the coefficients a, b, and c. The first equation derived from the point (10,0) is 0 = 100a + 10b + c, which simplifies to c = -100a - 10b. The second equation from (13,27) is 27 = 169a + 13b + c, and the third from (16,0) is 0 = 256a + 16b + c. By substituting c into the second and third equations, a system of equations can be formed to solve for the unknowns. Utilizing all three points is essential for determining the unique parabola equation.

Mar 23, 2010

thedarkhawk10

Homework Statement

What is the equation of this parabola: (10,0) ((13,27) (16,0)

Homework Equations

IDK what this is please help

The Attempt at a Solution

0=a(10)^2+b(10)+c
0=100a+10b+c
-100a-10b=c
I'm stuck please help

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Mar 23, 2010

Mark44

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Insights Author

Use all three of your given points, not just one of them. You need three equations to be able to solve for the three unknowns.

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