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Warm UP - PowerPoint PPT Presentation

Warm UP. 3/28/09. Describe the transformations of each graph:. UP 3 REFLECT OVER X AXIS RIGHT 4 LEFT 2 DOWN 7. Practice. Identify the parent function and the transformations for each equation:. 1. 2. 3. 4. It is also possible to look at a graph and determine the equation

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Presentation Transcript

3/28/09

Describe the transformations of each graph:

UP 3

REFLECT OVER X AXIS

RIGHT 4

LEFT 2

DOWN 7

Identify the parent function and the transformations for each equation:

1. 2.

3. 4.

at a graph and determine the equation

using the TRANSFORMATIONS!

• What parent function is the graph related to?

• Is the VERTEX moved up or down?

• Is the VERTEX moved left or right?

• Is the graph reflected over the x or y axis?

• Is the graph stretched or shrunken?

Create a dance for each equation below so that if you were to dance this equation, someone could guess which one you’re talking about.

Even and Odd Functions (algebraically)

A function is even if f(-x) = f(x)

If you plug in -x and get the original function, then it’s even.

A function is odd if f(-x) = -f(x)

If you plug in -x and get the opposite function, then it’s odd.

Ex. 1

Graphically

Algebraically

EVEN

Ex. 2

Graphically

Algebraically

ODD

Even, Odd or Neither?

Graphically

Algebraically

EVEN

Even, Odd or Neither?

Graphically

Algebraically

Neither

Even, Odd or Neither?

EVEN

ODD

Even functions are symmetric about the y-axis

Odd functions are symmetric about the origin

degree

• If the __________ is even and the leading coefficient is _________, then

• the left side of your graph goes _______ and the right side of your graph goes __________.

positive

up

up

degree

• If the __________ is even and the leading coefficient is _________, then

• the left side of your graph goes _______ and the right side of your graph goes __________.

negative

down

down

degree

• If the __________ is odd and the leading coefficient is _________, then

• the left side of your graph goes _______ and the right side of your graph goes __________.

positive

down

up

degree

• If the __________ is odd and the leading coefficient is _________, then

• the left side of your graph goes _______ and the right side of your graph goes __________.

negative

up

down

Pg 128 # 1 – 3 and # 10 - 16