How do you find the discriminant of a parabola?

The discriminant of a parabola is the product of the coefficients of the linear term and the coefficient of the quadratic term. So, it is simply the product of the two slopes of the parabola. If you have a parabola defined by the equation ƒ(x) = ax2 + bx, then the discriminant is b2-4a.

How to find discriminant of a parabola?

The discriminant of a parabola is the difference between the square of the focus and the coefficient of the vertex term. The focus is the point where the line through the vertex intersects the parabola. Both the vertex term and the square of the vertex term are found by plugging in the values for the two known vertexes of the parabola into the vertex equation.

Find discriminant of parabola equation?

The discriminant of an equation is the square of the coefficient of the quadratic term. It is the value that tells you whether a parabola is open (if the discriminant is positive) or closed (if the discriminant is negative). Thus, the discriminant of a parabola tells you if the parabola opens upwards or downwards.

How to find the discriminant of a parabola with vertex

If you have the equation of a parabola in vertex form (see above), then the discriminant is just the square of the coefficient of the square term. So, for example, if the equation of the parabola is ƒ(x) = −20x2+50x+200, then the discriminant is 400. Another example is the parabola ƒ(x) = −20x2−10x−200. The discriminant of

How to find the discriminant of a parabola with vertex at origin?

The discriminant of a parabola with vertex at the origin is the product of its two roots. These roots can be found by solving the equation for the vertex. The discriminant of a parabola with vertex at the origin can also be found by taking the square root of the product of the two roots.