What happens when a is negative in a quadratic function?

If a is negative, the graph of the parabola opens down instead of up. The b-value of a parabola helps to determine the rate at which the parabola increases and decreases, and it also helps to determine the position of the vertex of the parabola. The c-value determines the y-intercept of a quadratic function.

Can a quadratic formula answer be negative?

It has the general form: 0 = ax2 + bx + c Each of the constant terms (a, b, and c) may be positive or negative numbers. Since nothing can exist as a negative concentration, the other answer must be the RIGHT one. Let’s work through a typical quadratic calculation that you might find in equilibrium problems.

What does it mean when you get a negative discriminant when using the quadratic formula?

A positive discriminant indicates that the quadratic has two distinct real number solutions. A negative discriminant indicates that neither of the solutions are real numbers.

What does it implies when the value of b2 4ac is negative?

A negative under the radical means there are no real number solutions to the radical. We can use the formula under the radical, b2−4ac, called the discriminant, to determine the number of roots of solutions in a quadratic equation.

How does b affect a quadratic function?

As we can see from the graphs, changing b affects the location of the vertex with respect to the y-axis. When b = 0, the vertex of the parabola lies on the y-axis. Changing b does not affect the shape of the parabola (as changing a did). Making b positive or negative only reflects the parabola across the y-axis.

What happens if B 2 4ac in the quadratic equation gives a negative answer?

The discriminant is the expression b2 – 4ac, which is defined for any quadratic equation ax2 + bx + c = 0. If you get 0, the quadratic will have exactly one solution, a double root. If you get a negative number, the quadratic will have no real solutions, just two imaginary ones.

What if B is already negative in the quadratic formula?

This relationship is always true: If you get a negative value inside the square root, then there will be no real number solution, and therefore no x-intercepts. In other words, if the the discriminant (being the expression b2 – 4ac) has a value which is negative, then you won’t have any graphable zeroes.

What does discriminate mean in math?

discriminant, in mathematics, a parameter of an object or system calculated as an aid to its classification or solution. A discriminant can be found for the general quadratic, or conic, equation ax2 + bxy + cy2 + dx + ey + f = 0; it indicates whether the conic represented is an ellipse, a hyperbola, or a parabola.

What is C in quadratic equation?

The c-value is where the graph intersects the y-axis. The graph of a parabola that opens up looks like this. The c-value is where the graph intersects the y-axis. In this graph, the c-value is -1, and its vertex is the lowest point on the graph known as a minimum.

When using the quadratic formula to solve a quadratic equation explain what will happen when B 2 is less than 4ac?

Quadratic Polynomials If b2−4ac < 0 the equation has no real number solutions, but it does have complex solutions. If b2−4ac = 0 the equation has a repeated real number root. If b2−4ac > 0 the equation has two distinct real number roots.