QUADRATIC FUNCTIONS A quadratic expression is an expression in which the highest exponent of the variable is 2. FACTORING QUADRATIC EXPRESSIONS When factoring, ALWAYS check to see if a common factor can be removed first. Difference of Two Squares If there are two perfect squares being subtracted from each other, the factors will be in two sets of parenthesis with DIFFERENT signs.

FACTORING EXPRESSIONS IN WHICH a=1 The example below shows how to factor when the coefficient of is equal to 1. http://youtu.be/OFSrINhfNsQ

FACTORING EXPRESSIONS IN WHICH a 1 After you have taken out the common factor, sometimes the coefficient of is not equal to one. These questions are slightly more challenging.

SOLVING QUADRATIC EQUATIONS In order to solve a quadratic equation: Graphing Quadratic Functions REMEMBER that most graphs may be sketched using your calculator.

GRAPHING QUADRATICS BY FACTORING Though you can graph quadratic functions using your calculator, you also need to know how to graph by factoring. There are two ways to find the axis of symmetry.

GRAPHING QUADRATICS BY TRANSFORMATION The most basic quadratic graph is obtained from the function This graph is a parabola with a minimum point at the origin (0,0). This graph may be transformed (moved) to the left, right, up or down by adding or subtracting numbers to and from the equation, Moving the graph UP! Adding a number to the moves the graph up. Moving the graph Down! Subtracting a number from moves the graph down.

Moving the Graph to the Right! Subtracting a number within parenthesis moves the graph to the right. Moving the Graph to the Left! Adding a number within parenthesis moves the graph to the left. Combining Horizontal and Vertical Movement Flipping the Graph Upside Down The graph is flipped upside if the coefficient is negative.