Transformations

1 / 36

# Transformations - PowerPoint PPT Presentation

Transformations. Mr. Markwalter. Homecoming. New Starting this Week…. I have noticed that some people are really only choosing to study seriously when a test comes close. We are going to start quizzes every Friday! Here’s the thing, they are open notes and homework!

I am the owner, or an agent authorized to act on behalf of the owner, of the copyrighted work described.

## PowerPoint Slideshow about 'Transformations' - evers

An Image/Link below is provided (as is) to download presentation

Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author.While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server.

- - - - - - - - - - - - - - - - - - - - - - - - - - E N D - - - - - - - - - - - - - - - - - - - - - - - - - -
Presentation Transcript

### Transformations

Mr. Markwalter

New Starting this Week…
• I have noticed that some people are really only choosing to study seriously when a test comes close.
• We are going to start quizzes every Friday!
• Here’s the thing, they are open notes and homework!
• It can really bring your grade up or it can really hurt you.
Before We Continue
• We need to make sure that we have the right vocab to talk about our next topic.
• So today we look at…
Transformations
• Transformations change parent (simple) functions.
• Let’s take a look at the absolute value function.
Transformations
• What does absolute value do?
Transformations
• In groups of no more than three…
• Graph the functions in this packet and write your conclusions when asked.
• We will use this to identify our vocabulary for today!
• It can also be your notes on this topic!
Translations!
• If we add a number outside of the original function:
• VERTICAL TRANSLATION
• f(x)=x2+1
• f(x)=2x-1
Translations!
• If we add a number outside of the original function:
• VERTICAL TRANSLATION (+ up, - down)
• f(x)=x2+1
• f(x)=2x-1
Translations!
• If we add a number INSIDE of the original function:
• HORIZONTAL TRANSLATION (positive left, negative right)
• f(x)=(x-1)2
• f(x)=2x+1
Translations!
• If we add a number INSIDE of the original function:
• HORIZONTAL TRANSLATION (+ left, - right)
• f(x)=(x-1)2
• f(x)=2x+1
Reflections!
• If we multiply by a negative OUTSIDE the original function:
• VERTICAL Reflection across x-axis
• f(x)=-x2
• f(x)=-2x
Reflections!
• If we multiply by a negative OUTSIDE the original function:
• VERTICAL Reflection across y-axis
• f(x)=-x2
• f(x)=-2x
Reflections!
• If we multiply the x by a negative:
• HORIZONTAL Reflection across y-axis
• f(x)=(-x)2
• f(x)=2-x
Reflections!
• If we multiply the x by a negative:
• HORIZONTAL Reflection across y-axis
• f(x)=(-x)2
• f(x)=2-x
Stretches and shrinks
• If we multiply the function by a number GREATER THAN 1:
• Vertical Stretch
• f(x)=2x2
• f(x)=3(2x)
Stretches and shrinks
• If we multiply the function by a number LESS THAN 1:
• Vertical Shrink
• f(x)=0.5x2
• f(x)=0.2(2x)
Stretches and shrinks
• If we multiply the function by a number LESS THAN 1:
• Vertical Shrink
• f(x)=0.5x2
• f(x)=0.2(2x)
Together

How many transformations are there?

What are the transformations?

f(x)=x2-2

Together

How many transformations are there?

What are the transformations?

f(x)=x2-2

One transformation.

A vertical translation down 2

Together

How many transformations are there?

What are the transformations?

f(x)=2√x

Together

How many transformations are there?

What are the transformations?

f(x)=2√x

One transformation.

A vertical stretch by a factor of 2

Together

How many transformations are there?

What are the transformations?

f(x)=0.5(x-1)2

Together

How many transformations are there?

What are the transformations?

f(x)=0.5(x-1)2

Two transformations.

A vertical shrink by a factor of 0.5

Horizontal translation 1 right

Whiteboards
• Come up.
• Take a Whiteboard.
• And a transformations cheat-sheet.
• No Black Friday recreations…
Whiteboards
• Copy down the function into your notebook.
• Solve it there.
• Copy you answer to your board.
Round 1
• Identify the number of transformations.
Round 2
• Identify the TYPES of transformations.
Round 3
• Identify the transformations that have occurred to the parent function.