To complete this task, you need to plot two graphs according to the instructions:

Graph 1:

Plot the points given:

• (-5, 0)
• (-2, 4)
• (0, 0)

These points should be placed directly on the graph at their respective coordinates.

Graph 2:

This graph requires applying a transformation to points. The transformation given is: $(x, y) \rightarrow (x - 5, y + 4)$

To apply this transformation, take any point $(x, y)$, subtract 5 from the x-coordinate, and add 4 to the y-coordinate.

Additional Steps:

1. Plot the points in Graph 1.
2. Apply the transformation in Graph 2 to any initial points you'd like to use and then plot the resulting points.

If you would like further details on transformations, plotting points, or have additional questions, please let me know!

Here are some follow-up questions for exploration:

1. What does the transformation $(x, y) \rightarrow (x - 5, y + 4)$ represent geometrically?
2. How do transformations like $(x, y) \rightarrow (x + a, y + b)$ affect the orientation of points?
3. What are some other types of transformations you could apply to points?
4. How does translating points on a graph impact the relationship between them?
5. Can you describe the process of finding an inverse transformation?

Tip: When plotting transformations, remember each point on the original figure moves uniformly according to the rule given.