Section 6 2 Transforming Quadratic Functions 1 Objective

Section 6. 2: Transforming Quadratic Functions 1

Objective: By following instructions, students will be able to: 1. Determine how to obtain the graph of from the graph. 2

1. Parabola with a U-shaped graph 2. a = positive, graph opens UP 3. a = negative, graph opens DOWN 4. -1<a<1 , WIDE parabola 5. a<-1 or a>1, NARROW parabola 6. a=1, REGULAR size parabola 7. k = moves graph UP or DOWN 3

explain 1 A Graph the quadratic function. Give the minimum or maximum value and the axis of symmetry. 4

explain 1 B Graph the quadratic function. Give the minimum or maximum value and the axis of symmetry. 5

Your-Turn #1 Graph each quadratic function. Give the minimum or maximum value and the axis of symmetry. State the domain and range. a) b) 6

1. Parabola with a U-shaped graph 2. a = positive, graph opens UP 3. a = negative, graph opens DOWN 4. -1<a<1 , WIDE parabola 5. a<-1 or a>1, NARROW parabola 6. a=1, REGULAR size parabola 7. k = moves graph UP or DOWN 8. h = moves graph RIGHT or LEFT 9. Vertex: (h, k) 7

explain 2 A Graph the quadratic function. Give the minimum or maximum value and the axis of symmetry. 8

explain 2 B Graph the quadratic function. Give the minimum or maximum value and the axis of symmetry. 9

Your-Turn #2 Graph each quadratic function. Give the minimum or maximum value and the axis of symmetry. State the domain and range. a) b) 10

explain 3 A Graph the quadratic function. 11

explain 3 B Graph the quadratic function. 12

Your-Turn #3 Graph each quadratic function. Give the minimum or maximum value and the axis of symmetry. State the domain and range. a) b) 13

Revisit Objective: Did we… 1. Determine how to obtain the graph of from the graph ? 14

HW: Sec 6. 2 pg 173 #s 1 -21 ODD, 22, 25 15