Transformations in Machine Learning: A Comprehensive Review

The video tutorial covers transformations, focusing on translations, reflections, and rotations. It begins with an introduction to transformations, followed by detailed examples of translation problems and solutions. The tutorial then explains reflection rules and provides examples, before moving on to rotation rules and examples. Each section includes step-by-step instructions and rules for performing the transformations, helping students understand how to apply these concepts to different points and coordinates.

If a point is translated by (3, 4), what will be the new coordinates of the point (-2, -3)?

• (-5, 1)

• (1, -7)

• (-1, 7)

• (1, 1)

What is the result of translating the point (9, 7) by (-2, -5)?

• (7, -2)

• (11, 12)

• (11, 2)

• (7, 2)

How do you reflect a point across the x-axis?

• Add 1 to both x and y

• Keep y the same, change x to -x

• Keep x the same, change y to -y

• Switch x and y

What are the new coordinates of the point (3, -5) after reflecting it over the x-axis?

• (-3, -5)

• (3, -5)

• (3, 5)

• (-3, 5)

What is the rule for reflecting a point over the line y = x?

• (x, -y)

• (-x, -y)

• (-y, x)

• (y, x)

What is the result of rotating the point (-7, 3) by 90 degrees?

• (-3, 7)

• (7, -3)

• (-3, -7)

• (3, 7)

How do you rotate a point by 270 degrees?

• (x, y)

• (-y, x)

• (y, -x)

• (-x, -y)

What are the new coordinates of the point (2, -6) after a 270-degree rotation?

• (2, -6)

• (-2, 6)

• (6, 2)

• (-6, -2)

What is the rule for a 180-degree rotation?

• (-x, -y)

• (y, x)

• (x, -y)

• (-y, x)

What is the result of rotating the point (4, -2) by 180 degrees?

• (2, -4)

• (-4, 2)

• (4, 2)

• (-4, -2)