Posted by **jeff** on Tuesday, July 21, 2009 at 7:53am.

a parabola has vertex (-6,-12) AND PASSES THROUGH (6,24) find its equation in the form ax^2+bx+c

- Math -
**Reiny**, Tuesday, July 21, 2009 at 8:52am
let the equation be in the form

y = a(x-h)^2 + k, where (h,k) is the vertex

so we have

y = a(x+6)^2 - 12

plug in the point (6,24) to get a

24 = a(12)^2 - 12

a = 36/144 = 1/4

so y = (1/4)(x-6)^2 - 12

expand this to change it into the required form

Please check my arithmetic, I am still on my first cup of coffee.

## Answer This Question

## Related Questions

- algebra - Suppose a parabola has vertex (-4,7) and also passes through the point...
- algebra - Suppose a parabola has a vertex (-4,7) and also passes through the ...
- College Algebra - Find the standard form of the equation of the parabola with ...
- College Algebra - Find the standard form of the equation of the parabola with ...
- Pre-Calc - What is the standard form of the equation of the parabola that has a ...
- Math - Find an equation of the parabola that has the indicated vertex and whose ...
- math help plz2!!!! - Find an equation of parabola that has the indicated vertex ...
- math - Consider the parabola that passes through the points (2,6)(-1,12) and (0,...
- math - Hello. Please, help me solve this: Parabola y = ax^2 + bx + c passes ...
- Algebra - Write the standard form of the equation of the parabola whose vertex ...

More Related Questions