Quadratic formula and discriminant

Front

Solutions of a quadratic equation are also called

Back

roots, x-intercepts, zeros, All of the above.

Front

What is the quadratic formula?

Back

Front

What is the value of the discriminant for the equation 6x² − 2x − 3 = 0?

Back

76

Front

What is the value of the discriminant for the equation -2x² − x − 1 = 0?

Back

-7

Front

For the function y = x² + 4x + 4, determine if the discriminant is positive, negative, or zero?

Back

Zero

Front

What does a positive discriminant indicate about the roots of a quadratic equation?

Back

There are two distinct real roots.

Front

What does a negative discriminant indicate about the roots of a quadratic equation?

Back

There are no real roots (the roots are complex).

Front

What does a zero discriminant indicate about the roots of a quadratic equation?

Back

There is exactly one real root (the roots are repeated).

Front

How do you calculate the discriminant of a quadratic equation in the form ax² + bx + c?

Back

The discriminant is calculated as D = b² - 4ac.

Front

If a quadratic equation has a discriminant of 0, what can be said about its graph?

Back

The graph touches the x-axis at one point (the vertex).