Can you give someexamples of real-life application of a quadratic function using x or y?

Answer 1

A very common application of a quadratic equation is using the Pythagorean Theorem. The application is posted at http://www.mathmotivation.com/science/quadratic-application.html

Another application of a quadratic equation used in higher math and engineering is where a second-order differential equation is solved for a spring-damper system. This sounds scary but actually has real-world application. This example also shows how the "imaginary" number "i" is used in a real-world application. This application is shown at http://www.mathmotivation.com/science/complex-numbers-application.html

You wanted the quadratic function (2 variables). Here goes. The free fall equation S = at2 + Vot + So. is used by anyone predicting the path of a projectile. During WWII I have read that the warships would actually have a mathematician on board to do the calculations when firing at enemy targets. This equation, and how it is derived is shown at http://www.mathmotivation.com/science/freefall.html I once used this equation to calculate the depth of a canyon - I threw a rock straight out, counted the seconds, and was able to use the simplified version S = 16t2 to calculate the depth. Actually, the "canyon" was the bottom side of a dam on a river - my calculated depth gave me the depth of the lake on the dammed up side.

Answer 2

in physics it is used to represent displacement of an object, with respect to time, due to gravity or a different force

y=ax2+bx+c

where y= final displacement

x=time

a=acceleration due to force

b= velocity

c= initial displacement

___________-___

you also can use it to multiply large numbers

47 x 58

= (40+7)(50+8) your familiar with foil face loops

first 40x50=2000

+ inner 7x50=350

+ outer 40x8 =320

+last 7x8=56

add it up

=2726

quad functions can make problems like 47x 58 easy enough to do in your head.

there are a lot of uses folr quad functions