Quadratic Formula

Front

What is the quadratic formula?

Back

Front

What does the discriminant represent in a quadratic equation?

Back

Front

Identify the 'a', 'b', and 'c' values in the equation: y = 16x^2 - 8x - 24.

Back

In the equation y = 16x^2 - 8x - 24, the values are: a = 16, b = -8, c = -24.

Front

Back

Front

If the discriminant is a negative number, what can be said about the solutions of the quadratic equation?

Back

If the discriminant is negative, the quadratic equation has no real solutions.

Front

Back

The solutions are x = 2 (a double root).

Front

What are the x-intercepts of a quadratic function?

Back

Front

What is the vertex of a parabola represented by a quadratic equation?

Back

Front

What does it mean if a quadratic equation has two distinct real solutions?

Back

It means the graph of the quadratic function intersects the x-axis at two points, which occurs when the discriminant is positive.

Front

How do you determine if a quadratic equation opens upwards or downwards?

Back

A quadratic equation opens upwards if the coefficient 'a' is positive and downwards if 'a' is negative.