Applications of Transformations

Explain the use of transformations in the field of data analysis and computer graphics.

• Transformations are only used for basic arithmetic operations

• Transformations are not used in computer graphics

• Transformations are used to manipulate and analyze data in different ways, such as scaling, rotating, translating, and projecting in computer graphics. In data analysis, transformations are used to standardize data, normalize distributions, and create new features.

• Transformations are only used for creating complex data structures

Tags

CCSS.HSG.CO.A.2

How are transformations used in the field of architecture and construction?

• They are used to control traffic lights

• They are used to predict the weather

• They are used to design and visualize buildings, create 3D models, and analyze structural elements.

• They are used to bake cakes and pastries

Tags

CCSS.HSG.CO.A.2

Describe the application of transformations in the field of fashion and textile design.

• Transformations are used to develop software and computer programs

• Transformations are used to create music and sound effects

• Transformations are used to create patterns, prints, and designs for clothing and fabrics.

• Transformations are used to design buildings and architecture

Identify the transformation from ABC to A'B'C'.

• 90^o clockwise rotation

• 90^o counter clockwise rotation

• Reflection across the y-axis

• Reflection across the x-axis

Tags

CCSS.8.G.A.3

How does the graph of g(x) compare to f(x)?

• g(x) is steeper and translated down from f(x)

• g(x) is steeper and translated up from f(x)

• g(x) is less steep and translated down from from f(x)

• g(x) is less steep and translated up from f(x)

Compare the equations f(x) = 12x + 2 and g(x) = 6x – 2. Which best describes the transformation(s) from f(x) to g(x)?

• Vertical shift down 2, less steep slope

• Vertical shift up 4, double the slope

• Vertical shift down 4, half the slope

• Steeper by 2

What is this picture an example of? 

• An angle

• A cat vertex 

• Rotation 

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

What is the rule for the dilation pictured below?

• (x, y) → (½x, ½y)

• (x, y) → (x + 2, y + 2)

• (x, y) → (2x , 2y)

• (x, y) → (2x, 3y)

Tags

CCSS.HSG.CO.A.2

Dilate Point B by a scale factor of 1/2

• (1.5,-4)

• (-1.5,1)

• (-1,-1.5)

• (-2,-2)

Tags

CCSS.8.G.A.3

Dilate Point B by a scale factor of 3:

• (12,0)

• (12,12)

• (4,3)

• (0,12)

Tags

CCSS.8.G.A.3