Objectives: To identify quadratic functions and graphs and to model data with quadratic functions Investigate: As the side lengths of a square increase by 1, what happens to its perimeter and its area? Find a general rule to represent the relationship between any side length and its perimeter and area. A function of degree two; the largest exponent in the function is two Standard Form f(x) = ax 2 + bx + c; Quadratic term Linear term Constant term a 0 f(x) = (x + 2)(x 7)f(x) = (x 2 + 5x) x 2 Parabolas Vertex(max/min) (2, 0) By hand Substitute the values of x and y into y = ax 2 + bx + c and solve the system of equations with three variables Find a quadratic function that goes through (1, 0), (2, -3), and (3, 10) Using a graphing calculator Enter the data into calc STAT, Edit Find equation STAT, CALC, QuadReg, Enter The table at the below shows the height of a column of water as it drains from its container. Model the data with a quadratic function. Use the model to estimate the water level at 35 seconds. Pg 237 #1-16, 20-22, even