This introductory activity is designed to help students develop a better understanding of the relationship between the factors of a quadratic function and the x-intercepts of its related graph. Students will practice factoring quadratic expressions throughout. Problems 1 to 10 have a leading coefficient of 1. Problems 11 and 12 have a leading coefficient of 2. It is written to include the use of a graphing calculator, but could easily be completed without a graphing calculator. If completed without the use of a graphing calculator, this activity can provide an opportunity for students to review operations on real numbers and evaluating functions. Students are expected to realize that the y-intercept is the constant term of the function given in standard form and locate the vertex by using the formula, x = -b/(2a), then evaluate f[-b/(2a)] for the y-coordinate.