SOLUTION: i need the formula for how to find the equation of a curved line graph eg y=_xsquared +_x + _

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: i need the formula for how to find the equation of a curved line graph eg y=_xsquared +_x + _      Log On


   



Question 240240: i need the formula for how to find the equation of a curved line graph eg y=_xsquared +_x + _
Answer by Theo(13342) About Me  (Show Source):
You can put this solution on YOUR website!
If you mean a quadratic equation, the formula is:

x = %28-b+%2B-+sqrt%28b%5E2-4ac%29%29%2F%282a%29

standard form of the quadratic equation is:

ax%5E2+%2B+bx+%2B+c+=+0 where:

a is the coefficient of the x%5E2 term.

b is the coefficient of the x term.

c is the constant.

You solve for x.

The y value is 0 because you set the equation equal to 0.

Your roots are:

(x,y) = (x,0) where you replace x with the values you calculated for x.

The roots can be real or imaginary.

If the roots are real, the graph of the equation crosses the x-axis at y = 0.

If the roots are not real (contain an imaginary part which is a negative square root) then the graph of the equation will not cross the x-axis.

The quadratic formula works on all quadratic equations whether the roots are real or imaginary.