SOLUTION: Write an equation for the parabola with a vertex at the​ origin, passing through ((square root)3,12)​, and opening up. An equation for this parabola is______. (Simplify your

Algebra ->  Equations -> SOLUTION: Write an equation for the parabola with a vertex at the​ origin, passing through ((square root)3,12)​, and opening up. An equation for this parabola is______. (Simplify your       Log On


   

Question 1194461: Write an equation for the parabola with a vertex at the​ origin, passing through ((square root)3,12)​, and opening up.
An equation for this parabola is______.
(Simplify your answer. Use integers or fractions for any numbers in the​ expression.)
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

The vertex form of the parabola y+=+a%28x+-+h%29%5E2+%2B+k where+h+and+k are coordinates of a vertex
if a vertex at the​ origin, means h=0 and k=0
y+=+a%28x+-+0%29%5E2+%2B+0
y+=+ax%5E2+
if passing through (sqrt%283%29,12)​=>x=sqrt%283%29+and y=12
use it to calculate a
12=+a%28sqrt%283%29%29%5E2+
12=+a%283%29
a=12%2F3
a=4
so, your equation is y+=+4x%5E2+