Math Is Fun Forum

Damien Carlos

Guest

Maths - Parabola Equations

Hey guys! I'm new here & browse more thanb I post
I have an emergency, and a lot of guys who are here are pretty knowledgable.
If you could help me out with my question below I would be so happy! Thanks in advance,
Damien.

Question:

I need the EQUATION of a PARABOLA in the form of y = ax^2 + bx + c
I have three points; A (17, 3), B (51,3) and C (34, z)
Z is unkown, however, point C is a local minimum.
So y' = 2ax + b

I need the EQUATION of a PARABOLA in the form of y = ax^2 + bx + c
I have three points; A (17, 3), B (51,3) and C (34, z)
Z is unkown, however, point C is a local minimum.
So y' = 2ax + b. Can anyone help me find the equation of the parabola and the value of z?

JaneFairfax

Member

Registered: 2007-02-23

Posts: 6,868

Re: Maths - Parabola Equations

It’s easiest to start by writing the equation as

. Solve for A and B, then expand out in the form of

.

Your answer will be in terms of z.