The Discriminant and Intro to Graphing Quadratics ...€¦ · The Discriminant and Intro to...

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The Discriminant and Intro to Graphing Quadratics IBSL1 G Block September 21, 2015

Transcript of The Discriminant and Intro to Graphing Quadratics ...€¦ · The Discriminant and Intro to...

Page 1: The Discriminant and Intro to Graphing Quadratics ...€¦ · The Discriminant and Intro to Graphing Quadratics IBSL1 G Block September 21, 2015 Axis of Symmetry An imaginary vertical

The Discriminant and Intro to Graphing Quadratics

IBSL1 G Block

September 21, 2015

Page 2: The Discriminant and Intro to Graphing Quadratics ...€¦ · The Discriminant and Intro to Graphing Quadratics IBSL1 G Block September 21, 2015 Axis of Symmetry An imaginary vertical

The Discriminant and Intro to Graphing Quadratics

IBSL1 G Block

September 21, 2015

Page 3: The Discriminant and Intro to Graphing Quadratics ...€¦ · The Discriminant and Intro to Graphing Quadratics IBSL1 G Block September 21, 2015 Axis of Symmetry An imaginary vertical

The Discriminant and Intro to Graphing Quadratics

IBSL1 G Block

September 21, 2015

Page 4: The Discriminant and Intro to Graphing Quadratics ...€¦ · The Discriminant and Intro to Graphing Quadratics IBSL1 G Block September 21, 2015 Axis of Symmetry An imaginary vertical

The Discriminant and Intro to Graphing Quadratics

IBSL1 G Block

September 21, 2015

Page 5: The Discriminant and Intro to Graphing Quadratics ...€¦ · The Discriminant and Intro to Graphing Quadratics IBSL1 G Block September 21, 2015 Axis of Symmetry An imaginary vertical

The Discriminant and Intro to Graphing Quadratics

IBSL1 G Block

September 21, 2015

Graphing Quadratic Functions

Page 6: The Discriminant and Intro to Graphing Quadratics ...€¦ · The Discriminant and Intro to Graphing Quadratics IBSL1 G Block September 21, 2015 Axis of Symmetry An imaginary vertical

The Discriminant and Intro to Graphing Quadratics

IBSL1 G Block

September 21, 2015

Page 7: The Discriminant and Intro to Graphing Quadratics ...€¦ · The Discriminant and Intro to Graphing Quadratics IBSL1 G Block September 21, 2015 Axis of Symmetry An imaginary vertical

The Discriminant and Intro to Graphing Quadratics

IBSL1 G Block

September 21, 2015

The Vertex

Page 8: The Discriminant and Intro to Graphing Quadratics ...€¦ · The Discriminant and Intro to Graphing Quadratics IBSL1 G Block September 21, 2015 Axis of Symmetry An imaginary vertical

The Discriminant and Intro to Graphing Quadratics

IBSL1 G Block

September 21, 2015

Axis of SymmetryAn imaginary vertical line through the vertex.

The graph is symmetrical on both sides!

This is in your booklet!

Page 9: The Discriminant and Intro to Graphing Quadratics ...€¦ · The Discriminant and Intro to Graphing Quadratics IBSL1 G Block September 21, 2015 Axis of Symmetry An imaginary vertical

The Discriminant and Intro to Graphing Quadratics

IBSL1 G Block

September 21, 2015

Graphing Quadratic Functions

Page 10: The Discriminant and Intro to Graphing Quadratics ...€¦ · The Discriminant and Intro to Graphing Quadratics IBSL1 G Block September 21, 2015 Axis of Symmetry An imaginary vertical

The Discriminant and Intro to Graphing Quadratics

IBSL1 G Block

September 21, 2015

Graphing Quadratic FunctionsVertex Form

Using transformations

Page 11: The Discriminant and Intro to Graphing Quadratics ...€¦ · The Discriminant and Intro to Graphing Quadratics IBSL1 G Block September 21, 2015 Axis of Symmetry An imaginary vertical

The Discriminant and Intro to Graphing Quadratics

IBSL1 G Block

September 21, 2015

open up or down?

vertical stretch of:

open up or down?

vertical stretch of:

open up or down?

vertical stretch of:

Page 12: The Discriminant and Intro to Graphing Quadratics ...€¦ · The Discriminant and Intro to Graphing Quadratics IBSL1 G Block September 21, 2015 Axis of Symmetry An imaginary vertical

The Discriminant and Intro to Graphing Quadratics

IBSL1 G Block

September 21, 2015

Example

Page 13: The Discriminant and Intro to Graphing Quadratics ...€¦ · The Discriminant and Intro to Graphing Quadratics IBSL1 G Block September 21, 2015 Axis of Symmetry An imaginary vertical

The Discriminant and Intro to Graphing Quadratics

IBSL1 G Block

September 21, 2015

Example

Page 14: The Discriminant and Intro to Graphing Quadratics ...€¦ · The Discriminant and Intro to Graphing Quadratics IBSL1 G Block September 21, 2015 Axis of Symmetry An imaginary vertical

The Discriminant and Intro to Graphing Quadratics

IBSL1 G Block

September 21, 2015

Homework

Chapter 2.3: 2G #1-5

Chapter 2.4: 2H #1-3

Need more practice?

Haese and Harris:

Ch 6 B & Ch 6 C