QF5 ­ Transformations Lesson.notebook November 12, 2015 Warm up - record your answers on the sheet provided. No sharing of answers please. y Graph on the same axis. Clearly label each function. 10 9 8 7 6 5 4 3 2 1 ­10 ­8 ­6 ­4 ­2 x 0 2 4 ­2 ­3 ­4 ­5 ­6 ­7 ­8 ­9 ­10 Identify the key features of each graph. p. 213 #1ef, 2ab, 3 homework questions? p.222 p. 223 #1ab 6 8 10 QF5 ­ Transformations Lesson.notebook November 12, 2015 Transformations of Quadratic Functions How does the graph of y=a(x-h)2+k compare with the graph of y=x2 ? a h k Example 1: Graph the relation by applying transformations to y=x2 y 10 9 8 7 6 5 4 3 2 1 Transformations: ­10 a= h= k= vertex: direction of opening: pattern: axis of symmetry: max/min value: domain: range: ­8 ­6 ­4 ­2 x 0 ­2 ­3 ­4 ­5 ­6 ­7 ­8 ­9 ­10 2 4 6 8 10 QF5 ­ Transformations Lesson.notebook November 12, 2015 Example 2: Graph the relation by applying transformations to y=x2 y 10 9 8 7 6 5 4 3 2 1 Transformations: ­10 ­8 ­6 ­4 ­2 x 0 2 4 6 8 10 ­2 ­3 ­4 ­5 ­6 ­7 ­8 ­9 ­10 a= h= k= vertex: direction of opening: pattern: axis of symmetry: max/min value: domain: range: Example 3: Graph the relation using the vertex and graphing pattern. y a= h= k= vertex: direction of opening: pattern: axis of symmetry: max/min value: domain: range: 10 9 8 7 6 5 4 3 2 1 ­10 ­8 ­6 ­4 Transformations: Practice p. 222: #1de, 2cd, 3, 5, 6 ­2 x 0 ­2 ­3 ­4 ­5 ­6 ­7 ­8 ­9 ­10 ­11 ­12 ­13 2 4 6 8 10