You can put this solution on YOUR website!
I am guessing that you would like a real life situation in which you would use quadratics, right?
Well there are several!!!
Billy-Bob the jumper, is of course....a jumper. He leaps in the direction of a new function everyday.... Today he leaps in this direction:
However, before he jumps, he needs to find out where he is going to hit the ground....
So, he starts at one end of the jumparobola, which is at x = 0, and plans to jump according the that function! So, he would solve that equation above to find out that he hits the ground 5 meters ahead of him. He would also notice that his maximum height of the jump will be approximately 6.25 meters in the air.
Here's another situation. . .
A baseball is hit 3 feet above the ground with an initial velocity of 100ft/s. at an angle of 45 degrees
with respect to the horizontal ground. The path of the baseball is given by the fuction
, where f(x) is the height of the ball (in feet). What is the maximum height reached by the ball? (Taken from "Precalculus With Limits: A Graphing Approach" Larson, Hostetler, Edwards (Chapter 2, Polynomial and Rational Functions))
If you find the vertex of that parabola, you'll find the maximum height which comes out to be
81.125 feet in the air.
Parabolae are also applied to archs that are designed throughout our beautiful country..
I hope this helps!