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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
slide1

Warm UP

3/28/09

Describe the transformations of each graph:

UP 3

REFLECT OVER X AXIS

RIGHT 4

LEFT 2

DOWN 7

slide2

Practice

Identify the parent function and the transformations for each equation:

1. 2.

3. 4.

slide3

It is also possible to look

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?
slide14

Creative Time

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.

slide15

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.

slide16

Even, Odd or Neither?

Ex. 1

Graphically

Algebraically

EVEN

slide17

Even, Odd or Neither?

Ex. 2

Graphically

Algebraically

ODD

slide18

Ex. 3

Even, Odd or Neither?

Graphically

Algebraically

EVEN

slide19

Ex. 4

Even, Odd or Neither?

Graphically

Algebraically

Neither

slide20

Your turn!

Even, Odd or Neither?

EVEN

ODD

slide21

What do you notice about the graphs of even functions?

Even functions are symmetric about the y-axis

slide22

What do you notice about the graphs of odd functions?

Odd functions are symmetric about the origin

slide31

End Behavior

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

slide32

End Behavior

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

slide34

Homework

Pg 128 # 1 – 3 and # 10 - 16

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