How are the real solutions of a quadratic equation related to the graph of the quadratic function?

Question

anonymous · Answer

When you typically say solutions of a quadratic equations, you mean
0=ax^2+bx+c

saying, the solution of x, when y=0.

So the solutions you get (call them f and g)
are the x-intercepts.

anonymous · Answer

so they would be written as x=g and x=f
or
(f,0)  and  (g,0)

anonymous · Answer

and then, how are they related? directly

anonymous · Answer

The solutions (also known as zeros) are where the parabolic function (parabola) crosses the x-axis on the Cartesian Coordinate Plane.

happpily · Answer

oh thanks guys one more questions how can this be used in the real world?

happpily · Answer

@Cosmichaotic @fakeee

anonymous · Answer

velocity problems...

anonymous · Answer

A lot of parabolic functions are used in physics and other applications where things are moving with gravity over a distance. More clearly, it is often used for the trajectories of objects moving through space. @fakeee points out velocity problems, but more specifically, see how velocity is related to displacement.

anonymous · Answer

I am not very good of thinking about real world examples of math problems...

happpily · Answer

awesome thank you again! :D