Composition of Transformations Quiz

What is the main focus of the video tutorial?

• Solving algebraic equations

• Understanding composition of transformations

• Learning about calculus

• Exploring geometric shapes

Which transformation should be applied first according to the video?

• Reflection

• Dilation

• Rotation

• Translation

What happens to the x-coordinate during a translation to the right?

• It increases by 2

• It remains the same

• It decreases by 2

• It is multiplied by 2

After translating and dilating a point, what is the new x-coordinate of point A (1, 4)?

• 4

• 10

• 6

• 8

What is the rule for reflecting a point over the y-axis?

• Add 2 to both coordinates

• Make the y-coordinate negative

• Switch x and y coordinates

• Make the x-coordinate negative

What is the result of rotating a point 90 degrees counterclockwise?

• Make both coordinates negative

• Switch x and y, make x negative

• Add 90 to both coordinates

• Switch x and y, make y negative

What is the new position of point E (1, 2) after reflection and rotation?

• (2, -1)

• (-2, -1)

• (1, -2)

• (-1, 2)

What is the algebraic expression for translating a point up by 3 units?

• (x, y + 3)

• (x - 3, y)

• (x, y - 3)

• (x + 3, y)

How does a dilation of 1.5 affect the coordinates of a point?

• Multiplies both coordinates by 1.5

• Adds 1.5 to both coordinates

• Subtracts 1.5 from both coordinates

• Divides both coordinates by 1.5

What is the final transformation rule for translating up 3 units and dilating by 1.5?

• (1.5x, 1.5y + 3)

• (x, 1.5y + 3)

• (x + 3, 1.5y)

• (1.5x, y + 3)