1.1_graphing quadratic equations in standard form.notebook October 15, 2014 1.1: Graphing Quadratic Functions in Standard Form 1.1_graphing quadratic equations in standard form.notebook October 15, 2014 Quadratic Function: A function where the highest exponent is two is called a quadratic function. 1.1_graphing quadratic equations in standard form.notebook October 15, 2014 Parabola: The graph of a quadratic equation is called a parabola. The shape of the graph is a U. 1.1_graphing quadratic equations in standard form.notebook October 15, 2014 Parent Quadratic Function: The equation of the parent quadratic function is y = x2 1.1_graphing quadratic equations in standard form.notebook Concavity When a graph opens up, it is called concave up and has a minimum. When a graph opens down, it is called concave down and has a maximum. October 15, 2014 1.1_graphing quadratic equations in standard form.notebook xintercept: (also called roots, zeros, or solutions) Where the parabola crosses the xaxis three types: October 15, 2014 1.1_graphing quadratic equations in standard form.notebook October 15, 2014 Vertex: The lowest or highest point of the parabola 1.1_graphing quadratic equations in standard form.notebook yintercept: Where the parabola crosses the yaxis; to find this value, plug in 0 for x and solve for y October 15, 2014 1.1_graphing quadratic equations in standard form.notebook October 15, 2014 Standard Quadratic Form: y = ax2 + bx + c if a > 0, parabola will be concave up if a < 0, parabola will be ocncave down c is the yintercept 1.1_graphing quadratic equations in standard form.notebook October 15, 2014 vertex when given equation in standard form x = b 2a To find the yvalue, plug the xvalue into the equation and solve 1.1_graphing quadratic equations in standard form.notebook October 15, 2014 Axis of Symmetry (AOS): AOS vertical line through the vertex that cuts the parabola in half; will always be x = #; that # will be the xvalue of the vertex x=2 1.1_graphing quadratic equations in standard form.notebook Ex 1: y = 2x2 8x +6 a. vertex b. AOS c. yintercept d. Graph & Label October 15, 2014 1.1_graphing quadratic equations in standard form.notebook Ex 2: y = x2 + 6x + 9 a. vertex b. AOS c. yintercept d. Graph & Label October 15, 2014 1.1_graphing quadratic equations in standard form.notebook Ex 3: a. vertex b. AOS c. yintercept d. Graph & Label e. Graph October 15, 2014 1.1_graphing quadratic equations in standard form.notebook October 15, 2014 1.1_graphing quadratic equations in standard form.notebook Ex 4: a. vertex b. AOS c. yintercept d. Graph & Label October 15, 2014
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