The image contains four grids, each with a geometric figure. It looks like you are working on a sequence of transformations for the shaded figure across the four grids. Let me walk through the process of what appears to be happening based on the labels and transformations shown in the image.

Problem Breakdown:

1. First Transformation (Grid 1 to Grid 2):

   • Translation: The first grid shows a shape on the left side, and the instruction says to "translate the shaded figure directly upward about 4 units."
   • This means the shape in Grid 1 is shifted upwards without rotating or flipping, which takes it to the position in Grid 2.

2. Second Transformation (Grid 2 to Grid 3):

   • Reflection: The instruction here says "You reflect the shaded figure over a vertical axis to match the shaded figure."
   • This means the shape is reflected over a vertical axis (likely the y-axis) to reach its new orientation in Grid 3.

3. Next Transformation (Grid 3 to Grid 4):

   • The transformation from Grid 3 to Grid 4 likely involves another reflection or rotation to match the shaded figure’s orientation.
   • Though the exact instruction is not visible in the image, it seems to involve flipping or rotating to match the final position.

Would you like me to provide further details on transformation types (translation, reflection, or rotation)? Also, let me know if you'd like explanations on any specific part of the transformations.

Here are some follow-up questions to help further your understanding:

1. What is a reflection over a vertical axis, and how does it change the orientation of a figure?
2. Can you explain what a translation does to a figure's position without altering its shape or orientation?
3. How can you differentiate between a reflection and a rotation?
4. Could a sequence of transformations involve a combination of translations, rotations, and reflections?
5. What kind of transformation would be required if you wanted to rotate a figure 90 degrees?

Tip: When working with transformations, always focus on how the x- and y-coordinates change for each point on the figure, which can help visualize the movement.