Transformations Overview

Transformations Overview

By Ashley Griffin

Multiple Choice

Where is point A located?

• 3,2

• 2,3

• 3/2

• 2/3

Multiple Choice

Point A is at 2,3. If I moved it one unit down and one unit to the left, where would it be then?

• 3,4

• 4, 3

• 1,2

• 2,1

Multiple Choice

Where would point S be if I moved it 4 units right and 6 units down?

• -8,10

• -8,0

• 0,-8

• 0,0

Transformations

This is how we move or change objects on a graph

​This is where we move an image on the graph, but don't change its size or direction

​Some text here about the topic of discussion.

Translations

​

The beginning (red) triangle is called the pre-image.​

The second (blue) triangle is called the image and its points are marked like this A'​

Translations

​

1. ​Graph the points given

2. Apply the translation (move your points)

3. Identify the new points​

This is where we flip an image over the x or y axis. The numbers will stay the same, we just might make some negative!​​

You should be able to fold the paper and them overlap​

Reflection

​

1. ​Graph the points given

2. move each point the same distance from the line of reflection

3. Identify the new points​

Time for a brain break

Poll

Is a hot dog a sandwich?

• Yes!

• Absolutely not!

Poll

Is cereal a soup?

• No, you monster

• Yuh

Poll

Is water wet?

• YES IT IS WATER

• NO WATER CANNOT GET ITSELF WET

This is where we stretch or shrink an image.

​

A scale factor bigger than 1 means we stretch, and a scale factor smaller than one means we shrink​

Dilation

​

1. ​Graph the points given

2. Multiply all numbers by the scale factor

3. Identify and graph the new points​

Rotations are where we rotate an image around one point (usually the origin)

​

90 degrees becomes (-y,x)

180 degrees becomes (-x,-y)

270 degrees becomes (​y,-x)

Rotations

1. ​Graph the points given

2. Apply the changes to the x and y value

3. Graph the new points

1. ​Graph the points given

2. Apply the changes to the x and y value

3. Graph the new points

Multiple Choice

What transformation is this?

• Rotation 90 degrees

• Reflection across y-axis

• Translation 2 units to the right

• Dilation of -1

Multiple Choice

What transformation is this?

• Translation 3 units up and 1 to the left

• Dilation of 2

• Dilation of 1/2

• 360 degree rotation

Multiple Choice

What transformation is this?

• Rotation 90 degrees

• Translation up 2 units

• Reflection across the x-axis

• Reflection across the y-axis

Multiple Choice

What is the transformation here?

• Translation 8 units to the right

• Translation 8 units to the left

• Rotation 90 degrees

• Reflection over the y-axis