Exploring Rational Expressions: Addition and Subtraction

The video tutorial explains how to reflect a geometric figure over the y-axis using coordinates. It begins by identifying the original coordinates of the figure, then explains how to reflect the y-coordinates, which remain unchanged, and the x-coordinates, which change signs. Finally, it demonstrates plotting the new coordinates to form the reflected image.

What is the first step in reflecting a figure over the y-axis?

• Drawing the new figure

• Identifying the figure to reflect

• Selecting the coordinates to reflect

• Calculating the new y-coordinates

Which coordinate remains unchanged when a figure is reflected over the y-axis?

• Both coordinates

• Neither coordinate

• y-coordinate

• x-coordinate

What happens to the x-coordinate when reflecting over the y-axis?

• It doubles in value

• It changes sign

• It remains unchanged

• It becomes zero

What is the new x-coordinate for the original point (-2, 1)?

• 1

• -1

• -2

• 2

After reflecting over the y-axis, which point corresponds to the original point (-4, 1)?

• (4, 1)

• (-4, 1)

• (1, 4)

• (-1, 4)

Which statement best describes the reflection of a figure over the y-axis?

• Neither coordinate is changed, only the position is shifted.

• Both x and y coordinates are inverted.

• The y-coordinates are inverted while x-coordinates remain the same.

• The x-coordinates are inverted while y-coordinates remain the same.

How do you plot the point (4, 1) after reflection?

• 1 unit right and 4 units up

• 1 unit left and 4 units down

• 4 units right and 1 unit up

• 4 units left and 1 unit up

Which of the following points is not a result of reflecting the original coordinates over the y-axis?

• (4, 4)

• (-1, 4)

• (1, 4)

• (2, 1)

What is the correct sequence of steps for reflecting a figure over the y-axis?

• Identify coordinates, reflect x-coordinates, plot points

• Reflect x-coordinates, identify coordinates, plot points

• Plot points, reflect x-coordinates, identify coordinates

• Identify coordinates, reflect y-coordinates, plot points

What is the result of reflecting the point (-1, 4) over the y-axis?

• (4, 1)

• (1, 4)

• (-4, 1)

• (-1, 4)