Opener

We will be using an online projectile simulator to understand the applications of quadratics.

http://markc1.typepad.com/.a/6a00d83451bb2969e20147e1ad9da5970b-pi

2.1 Quadratic Functions

SWBAT sketch the graph of quadratic functions in polynomial form.

SWBAT sketch the graph of quadratic functions in standard/vertex form.

Write down the date, Section #, Title and Learning Objective(s) into your notebook.

Key ConceptsLOOK LISTEN

Write down what you want into “Key Concepts” as you Look & Listen.

Polynomial Form

2( ) , 0y f x ax bx c a

Standard/ Vertex Form

2( ) , 0y f x a x h k a

Symmetry and Effect of “a” and “c” on the graphKey Concepts

LOOK LISTEN

Key ConceptsLOOK LISTEN

Write down what you want into “Key Concepts” as you Look & Listen.

Maximum, a<0

Minimum, a>0

Axis of Symmetry

Axis of Symmetry

Key ConceptsLOOK LISTEN

Write down what you want into “Key Concepts” as you Look & Listen.

Vertex: , , ( )2bx y x f xa

“1, 3, 5 Rule” using “a”

1 3 5, ,1 1 1

rise a a arun

1 – 3 – 5 Rule

1

3

5

7

x y

0 0

1 1

2 4

3 9

4 16

1

3

5

7

x y

0 0

1 2

2 8

3 18

4 32

2

6

102

6

10

14

How do we get there?

SWBAT match graphs with their functions.

LOOK LISTEN

22f x x 2 2f x x

Now let’s try together.Use whiteboards.

SWBAT match graphs with their functions.

21 2f x x 23f x x

How do we get there?

SWBAT sketch the graph of a quadratic in polynomial form.

LOOK LISTEN

22 4 5f x x x

Now let’s try together.Use whiteboards.

SWBAT sketch the graph of a quadratic in polynomial form.

2 4 1f x x x

Now let’s try together.Use whiteboards.

SWBAT sketch the graph of a quadratic in standard /vertex form.

23 4f x x

Now let’s try together.Use whiteboards.

SWBAT sketch the graph of a quadratic in standard /vertex form.

21 1f x x

How do we get there?

SWBAT sketch the graph of a quadratic in standard/vertex form.

LOOK LISTEN

22 1 3f x x

Now let’s try together.Use whiteboards.

SWBAT sketch the graph of a quadratic in standard /vertex form.

23 4 3f x x

Time to practice some more by writing down examples into our notebook.