The video tutorial covers algebraic representations of transformations, including translations, reflections, and rotations. Students are guided through vocabulary, rules, and practice exercises to understand how to manipulate points on a coordinate grid. The lesson includes independent practice and preparation for an upcoming district-level assessment.

What is the main focus of today's lesson?

• Learning about fractions

• Understanding geometric shapes

• Solving quadratic equations

• Algebraic representations of transformations

What does the term 'vertices' refer to in geometry?

• The perimeter of a shape

• The area of a shape

• The corners or intersections of a shape

• The sides of a shape

How do you algebraically represent a translation to the right?

• Add to the x-coordinate

• Add to the y-coordinate

• Subtract from the x-coordinate

• Subtract from the y-coordinate

If a point (3, -4) is translated 4 units right and 3 units up, what is the new point?

• (7, -1)

• (3, -1)

• (3, 3)

• (7, -4)

What happens to the x-values when reflecting across the y-axis?

• They are added to the y-values

• They are divided by 2

• They are multiplied by -1

• They remain the same

When reflecting a point across the y-axis, what happens to the y-coordinate?

• It is subtracted from the x-coordinate

• It is added to the x-coordinate

• It remains unchanged

• It is multiplied by -1

What is the rule for a 90-degree clockwise rotation?

• Switch x and y without any multiplication

• Multiply x by -1 and switch x and y

• Multiply y by -1 and switch x and y

• Multiply both x and y by -1

After a 90-degree clockwise rotation, what is the new position of point (2, 4)?

• (-4, 2)

• (-2, 4)

• (2, -4)

• (4, -2)