Solving Quadratic Equations

Front

What is a quadratic equation?

Back

Front

What are the zeros of a quadratic function?

Back

The zeros of a quadratic function are the values of x that make the function equal to zero. They are the x-intercepts of the graph.

Front

How do you solve a quadratic equation by factoring?

Back

Front

What is the vertex of a quadratic function?

Back

The vertex is the highest or lowest point of the graph of a quadratic function, located at the point where the axis of symmetry intersects the graph.

Front

What is the axis of symmetry in a quadratic function?

Back

Front

What is the Quadratic Formula?

Back

Front

What does it mean if the discriminant is positive?

Back

Front

What does it mean if the discriminant is zero?

Back

If the discriminant is zero, the quadratic equation has exactly one real solution, also known as a repeated or double root.

Front

What does it mean if the discriminant is negative?

Back

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

Front

How can you identify a quadratic function from its graph?

Back

A quadratic function's graph is a parabola, which can open upwards or downwards, and has a vertex and an axis of symmetry.