SOLUTION: Find the standard form of the equation of the parabola with the given characteristic(s) and vertex at the origin. Vertical axis and passes through the point (−6, −3).

Algebra ->  Trigonometry-basics -> SOLUTION: Find the standard form of the equation of the parabola with the given characteristic(s) and vertex at the origin. Vertical axis and passes through the point (−6, −3).      Log On


   

Question 1176633: Find the standard form of the equation of the parabola with the given characteristic(s) and vertex at the origin.
Vertical axis and passes through the point (−6, −3).
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

f+%28x%29+=+a%28x+-+h%29%5E2+%2B+k, where (h, k) is the vertex of the parabola
if given vertex at the origin ​(​0,​0) then h=0 andk=0
f+%28x%29+=+a%28x+-+0%29%5E2+%2B+0
f+%28x%29+=+ax%5E2+

if passes through the point ​(-6​,-3) we have
-3=+a%28-6%29%5E2+
-3=+36a+
a=-3%2F36
a=-1%2F12
and your equation is:
f+%28x%29+=+-%281%2F12%29x%5E2+