A110­1ExploringQuadGraphsSpring15.notebook April 27, 2015 Algebra 1 Ch.10 Notes Page 56 P56 10­1 Exploring Quadratic Graphs Sep 2­8:31 AM Quadratic Functions y = ax2 + bx + c Standard Form: a, b, and c are Numbers (a ≠ 0) 2 ax + bx + c May 5­7:02 AM 1 A110­1ExploringQuadGraphsSpring15.notebook April 27, 2015 Graphs of Quadratic Functions Parent Function y = x2 Shape ­ Parabola Vertex ­ Hightest/Lowest Point Max or Min ax2 + bx + c If a > 0 Opens Up (Min) If a < 0 Opens Down (Max) May 5­7:02 AM Finding the Vertex What is the Vertex and is it a Max or a Min? May 5­7:03 AM 2 A110­1ExploringQuadGraphsSpring15.notebook April 27, 2015 What is the Vertex and is it a Max or a Min? Apr 30­8:35 AM Graphing y = ax2 If a > 1 (Narrow) If 0 < a < 1 (Wide) y = 2x2 y = 1/2x2 Apr 30­8:35 AM 3 A110­1ExploringQuadGraphsSpring15.notebook April 27, 2015 Comparing Widths of Parabolas y = 1/4x2 y = ­4x2 y = x2 Apr 30­8:36 AM Graphing y = ax2 + c C shifts the Graph up or down. y = 1x2 + 3 y = 1x2 C = Positive UP C = Negative Down Apr 30­8:36 AM 4 A110­1ExploringQuadGraphsSpring15.notebook April 27, 2015 HW #68 10­1 P553 #1­5,10,11,14­19,21­26 Please put your name and class period at the top of the homework. Also include the homework number. Nov 19­2:20 PM Apr 30­8:36 AM 5