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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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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

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?












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.


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.


Even, Odd or Neither?

Ex. 1

Graphically

Algebraically

EVEN


Even, Odd or Neither?

Ex. 2

Graphically

Algebraically

ODD


Ex. 3

Even, Odd or Neither?

Graphically

Algebraically

EVEN


Ex. 4

Even, Odd or Neither?

Graphically

Algebraically

Neither


Your turn!

Even, Odd or Neither?

EVEN

ODD


What do you notice about the graphs of even functions?

Even functions are symmetric about the y-axis


What do you notice about the graphs of odd functions?

Odd functions are symmetric about the origin










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


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



Homework

Pg 128 # 1 – 3 and # 10 - 16


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