Solving Quadratics by Graphing and Factoring

Front

What is the standard form of a quadratic equation?

Back

Front

What does it mean for a quadratic function to have zeros?

Back

Zeros of a quadratic function are the x-values where the graph intersects the x-axis, meaning the function's value is zero.

Front

Back

Front

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

Back

The vertex of a parabola is the highest or lowest point on the graph, depending on whether it opens upwards or downwards.

Front

How can you find the vertex of a quadratic function in standard form?

Back

Front

What is the quadratic formula?

Back

Front

What is the discriminant in a quadratic equation?

Back

Front

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

Back

A positive discriminant indicates that the quadratic equation has two distinct real roots.

Front

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

Back

A zero discriminant indicates that the quadratic equation has exactly one real root, also known as a repeated root.

Front

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

Back

A negative discriminant indicates that the quadratic equation has no real roots, but two complex roots.