Exploring Transformations: Y-Axis Reflections and Translations

The video tutorial demonstrates solving a geometry problem involving multiple transformations. It starts with a rectangle defined by specific vertices and applies two transformations: a translation and a reflection. The translation involves moving the shape six units to the right and eight units down, while the reflection is performed over the y-axis. The tutorial provides step-by-step calculations for each transformation and concludes with graphing the final image.

What are the initial coordinates of vertex L?

• (-2, 7)

• (2, 3)

• (-4, 5)

• (0, 1)

How many units is the rectangle translated to the right?

• 4 units

• 6 units

• 8 units

• 10 units

After the translation, what is the new Y-coordinate of vertex P?

• -3

• -5

• -7

• -1

How many units is the rectangle translated downwards?

• 12 units

• 10 units

• 8 units

• 6 units

What axis is the rectangle reflected over in the second transformation?

• X-axis

• Z-axis

• Y-axis

• None

After reflection, what is the X-coordinate of vertex N?

• 8

• -8

• 6

• -6

What happens to the Y-coordinates during the reflection?

• They are negated

• They remain unchanged

• They are halved

• They are doubled

What is the effect of reflecting over the y-axis on the X-coordinates?

• They are decreased by 1

• They remain the same

• Their sign is reversed

• They are increased by 1

What is the final coordinate of vertex L after both transformations?

• (-4, 1)

• (4, 1)

• (-4, -1)

• (4, -1)

Which vertex ends up at the coordinate (-8, -5)?

• P

• L

• M

• N