So, after all you have learned about quadratic expressions, functions, and equations, what does it all mean?

You know how to factor a quadratic trinomial x2 + bx + c, but do you know what those factors tell you about the graph of the corresponding quadratic function, F(x) = x2 + bx + c, or about the solutions to the quadratic equation x2 + bx + c = 0?

You also know how to complete the square, and how to use the quadratic formula to solve complex quadratic equations. But, do you know what the solutions — real, imaginary, or complex — tell you about the graph of the quadratic function?

This lesson will tie up these loose ends and complete the picture of how the various approaches to quadratic functions fit together.