Left side quadratic....Right side piecewise

1. Quadratic Functions y = ax2 + bx + c

2. A quadratic function is one of the form f(x) = ax2 + bx + c, where a, b, and c are numbers with a not equal to zero. The graph of a quadratic function is a curve called a parabola. Parabolas may open upward or downward and vary in "width" or "steepness", but they all have the same basic "U" shape.

3. A Quadratic Function. Picture a swing swinging back and forth. ... In math, we define a quadratic equation as an equation of degree 2, meaning that the highest exponent of this function is 2.

4. Piecewise Fuctions

5. From x-values of -∞ to -1, the graph is a straight line. From x-values of -1 to 1, the graph is constant. From x-values 1 to ∞, the graph is quadratic (part of a parabola).

6. The piecewise function shown in this example is continuous (there are no "gaps" or "breaks" in the plotting).One equation gives the values of ƒ(x) when x is less than or equal to 1, and the other equation gives the values of ƒ(x) when x is greater than 1.