u2c1 graphing quad standard form.notebook P U ARM September 09, 2014 Graph 3x2y=18 W Domain _______ Range ________ Nov 168:16 PM Unit 2 Concept 1 Objective: Graph: Tchart, given f (x)= in standard form with domain and range in interval notation. Sep 59:35 AM 1 u2c1 graphing quad standard form.notebook September 09, 2014 Graphing Quadratic Functions Quadratic function: A function defined by an equation of Standard Form f(x) = ax 2 + bx + c , where a ≠0 Graph of a Quadratic function: PARABOLA Title page Graphing Quadratics: f(x)=ax2 + bx + c opens up or down max (-a) or min (+a) (look at the value of a) A.O.S. = x = -b (axis of symmetry) 2a Vertex = ( -b , f( -b ) ) 2a 2a Make T-chart to graph How to graph 2 u2c1 graphing quad standard form.notebook September 09, 2014 Example y = 2x2 + 12x + 18 opens _____ max or min A.O.S. = ________ Vertex = ( , ) x y D: _______ R: _______ Examples Example y = -x2 +2x + 3 opens _____ max or min A.O.S. = ________ Vertex = ( , ) x y D: _______ R: _______ Examples 3 u2c1 graphing quad standard form.notebook September 09, 2014 Example f(x)= x2 - 8x + 15 opens _____ max or min A.O.S. = ________ Vertex = ( , ) x y D: _______ R: _______ Examples Example x y a. f(x)= -x2 + 2x + 8 3 9 2 6 b. f(x)= x2 + 9x + 9 1 11 c. f(x)= -5x2 - 10x + 6 0 6 1 9 Answer Which equation matches the table? d. f(x)= -2x2 - 3x - 2 Examples 4 u2c1 graphing quad standard form.notebook September 09, 2014 Match the roots to the pictures No roots One root {2} Two roots {2,2} Why would a quadratic equation have no roots? Roots to picture TOTD f(x)= -x2 - 4x + 10 opens _____ max or min A.O.S. = ________ Vertex = ( , ) x y D: _______ R: _______ Examples 5 u2c1 graphing quad standard form.notebook September 09, 2014 Homework Graphing Quadratic Worksheet Sep 512:40 PM 6 Attachments 9.4 Lab.doc