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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.

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

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

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