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4.23.18 Aim 45 Properties of Quadratics.notebook 1 April 24, 2018 Aim 45.1 : What are the key properties on the graph of a quadratic function? Graph: y = x 2 + 6x - 1 Take out last night's homework HW - none Copy down tonight's homework HW - finish aim 45.1

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  • 4.23.18  Aim 45  Properties of Quadratics.notebook

    1

    April 24, 2018

    Aim 45.1: What are the key properties on the graph of a quadratic function?

    Graph: y = x2 + 6x - 1

    Take out last night's homeworkHW - none

    Copy down tonight's homeworkHW - finish aim 45.1

  • 4.23.18  Aim 45  Properties of Quadratics.notebook

    2

    April 24, 2018

    The vertex of a parabola is the turning point (a.k.a. the maximum or minimum)

    The axis of symmetry of a parabola is a vertical line that passes through the vertex/turning point of the parabola, and that divides the parabola into two congruent halves.

    The x-coordinate of the vertex is the equation of the axis of symmetry (x = __ )

    Mini Lesson: Vertex and Axis of Symmetry

    Vertex:   Axis of symmetry: Vertex:   Axis of symmetry:

  • 4.23.18  Aim 45  Properties of Quadratics.notebook

    3

    April 24, 2018

    Practice

    Vertex:   Axis of symmetry: Vertex:   Axis of symmetry:

    Vertex:   Axis of symmetry: Vertex:   Axis of symmetry:

  • 4.23.18  Aim 45  Properties of Quadratics.notebook

    4

    April 24, 2018

    Practice

    turning point

    xvalue of turning point

    where it crosses the xaxis

    where it crosses the yaxis

    how far left, how far right

    how low, how high

    mini up domains 

    mini down domains

  • 4.23.18  Aim 45  Properties of Quadratics.notebook

    5

    April 24, 2018

    Practice

  • 4.23.18  Aim 45  Properties of Quadratics.notebook

    6

    April 24, 2018

    Practice

  • 4.23.18  Aim 45  Properties of Quadratics.notebook

    7

    April 24, 2018

    Practice

  • 4.23.18  Aim 45  Properties of Quadratics.notebook

    8

    April 24, 2018

    Exit Slip

  • 4.23.18  Aim 45  Properties of Quadratics.notebook

    9

    April 24, 2018

    Aim 45.2: What are the key properties on the graph of a quadratic function?

    Take out last night's homeworkHW - finish aim 45.1

    Copy down tonight's homeworkHW - HW 45.2

    turning point

    xvalue of turning point

    where it crosses the xaxis

    where it crosses the yaxis

    how far left, how far right

    how low, how high

    mini up domains 

    mini down domains

  • 4.23.18  Aim 45  Properties of Quadratics.notebook

    10

    April 24, 2018

    The roots/zeros are where the quadratic crosses the x-axis.

    Mini Lesson: Roots/Zeros

    x

    y

    TWO ROOTS

    OR UNEQUAL

    x

    y

    x

    y

    ONE ROOT

    OR EQUALIMAGINARY OR NONE

  • 4.23.18  Aim 45  Properties of Quadratics.notebook

    11

    April 24, 2018

    Mini Lesson: Roots/Zeros

    x  92

    x  4x + 42

    x + 6x + 102

    xintercepts or "roots" means y = 0

  • 4.23.18  Aim 45  Properties of Quadratics.notebook

    12

    April 24, 2018

    Practice

    BOUNCE BACK

  • 4.23.18  Aim 45  Properties of Quadratics.notebook

    13

    April 24, 2018

  • 4.23.18  Aim 45  Properties of Quadratics.notebook

    14

    April 24, 2018

    Exit Slip

  • 4.23.18  Aim 45  Properties of Quadratics.notebook

    15

    April 24, 2018

    Answer key

  • 4.23.18  Aim 45  Properties of Quadratics.notebook

    16

    April 24, 2018

  • 4.23.18  Aim 45  Properties of Quadratics.notebook

    17

    April 24, 2018

    Answer key

  • 4.23.18  Aim 45  Properties of Quadratics.notebook

    18

    April 24, 2018

    Aim 45.3: What are the key properties on the graph of a quadratic function?

    Take out last night's homeworkHW - HW 45.2

    Copy down tonight's homeworkHW - study for quiz tomorrow on quadratics

    turning point

    xvalue of turning point

    where it crosses the xaxis

    where it crosses the yaxis

    how far left, how far right

    how low, how high

    mini up domains 

    mini down domains

    xvalue of where it crosses the xaxis

  • 4.23.18  Aim 45  Properties of Quadratics.notebook

    19

    April 24, 2018

    Partner Practice

  • 4.23.18  Aim 45  Properties of Quadratics.notebook

    20

    April 24, 2018

    Partner Practice

  • 4.23.18  Aim 45  Properties of Quadratics.notebook

    21

    April 24, 2018

    Partner Practice

  • 4.23.18  Aim 45  Properties of Quadratics.notebook

    22

    April 24, 2018

    Partner Practice

    y = x  2x  82

    y = x  + 42

  • 4.23.18  Aim 45  Properties of Quadratics.notebook

    23

    April 24, 2018

    Partner Practice

    y = x + x  122

    y = (x  1)(x 4) 

  • Attachments

    HW# 10 Answers.pdf

  • SMART Notebook

    Page 1Page 2Page 3Page 4Page 5Page 6Page 7Page 8Page 9Page 10Page 11Page 12Page 13Page 14Page 15Page 16Page 17Page 18Page 19Page 20Page 21Page 22Page 23Attachments Page 1