What are the differences? How do the graphs differ from the graph in Part I? Generalize your findings. Name_______________________ Date___________ Chapter 12 project Integrated Algebra Graphing Quadratic Functions Investigating: = a(x b)2 + c y – Part I Complete the table of values for = y x2. -3 -2 -1 0 1 2 3 x x2 Be sure to label the vertex, axis of symmetry, and minimum/maximum values. Part II Group A = ax2 y 1. Sketch and label the following graphs using the graphing calculator. a) = 2x2 b) = 3x2 c) = 4 y y y x2 What are the trends of these graphs? How do the graphs differ from the graph in Part I? Generalize your findings. Group B = -ax2 y 1. Sketch and label the following graphs using the graphing calculator. a) = -2x2 b) = -3x2 c) = -4 y y y x2
What are the differences? How do the graphs differ from the graph in Part I? Generalize your findings. Name_______________________ Date___________ Chapter 12 project Integrated Algebra Graphing Quadratic Functions Investigating: y = a(x – b)2 + c Part I Complete the table of values for y = x2. x -3 -2 -1 0 1 2 3 x2 Be sure to label the vertex, axis of symmetry, and minimum/maximum values. Part II Group A y = ax2 1. Sketch and label the following graphs using the graphing calculator. a) y = 2x2 b) y = 3x2 c) y = 4 x2 What are the trends of these graphs? How do the graphs differ from the graph in Part I? Generalize your findings. Group B y = -ax2 1. Sketch and label the following graphs using the graphing calculator. a) y = -2x2 b) y = -3x2 c) y = -4 x2