Determine the equation of the parabola:

Given two points at (-4,9) and (12,9). I figured out the axis of symmetry is x=4. Also given the y-intercept, which is (0,-3). Figure out the equation?

Thanks for the help! (Itwasntme)

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- Jul 30th 2012, 09:09 AMwoahitzmeFinding Equation of a Parabola?
Determine the equation of the parabola:

Given two points at (-4,9) and (12,9). I figured out the axis of symmetry is x=4. Also given the y-intercept, which is (0,-3). Figure out the equation?

Thanks for the help! (Itwasntme) - Jul 30th 2012, 09:30 AMrichard1234Re: Finding Equation of a Parabola?
Write the parabola in the form where are constants and .

It is symmetric about , so letting yields our desired parabola.

Now our parabola is in the form . Subsitutute the given values of (x,y) to obtain a system of equations in terms of and . - Jul 30th 2012, 09:32 AMWilmerRe: Finding Equation of a Parabola?
- Jul 30th 2012, 09:34 AMrichard1234Re: Finding Equation of a Parabola?
- Jul 30th 2012, 09:50 AMProve ItRe: Finding Equation of a Parabola?
- Jul 30th 2012, 09:55 AMWilmerRe: Finding Equation of a Parabola?
- Jul 30th 2012, 10:02 AMwoahitzmeRe: Finding Equation of a Parabola?
- Jul 30th 2012, 10:11 AMwoahitzmeRe: Finding Equation of a Parabola?
Nevermind, I got the answer, thank you guys!