The graph of equation is expanded vertically by a factor of 3 and reflected over the x-axis. how would you describe the graph?
COULD YOU PLEASE CLARIFY "EXPANDED VERTICALLY BY A FACTOR OF 3"? THANK YOU SO MUCH.
To describe the graph of an equation that has been expanded vertically by a factor of 3 and reflected over the x-axis, you can follow these steps:
1. Start with the original equation's graph.
2. Expand the graph vertically by stretching it three times taller. This is done by multiplying the y-coordinates of each point on the graph by 3.
3. Reflect the expanded graph over the x-axis. This involves changing the sign of each y-coordinate to its opposite (e.g., positive becomes negative and vice versa).
4. Analyze the characteristics of the new graph.
Now, let's describe the new graph based on these transformations:
- The graph will be three times taller compared to the original graph.
- All points that were above the x-axis will now be below the x-axis, and vice versa.
- The overall shape and features of the original graph will remain the same, but vertically compressed.
By following these steps, you can describe how the graph changes after being expanded vertically and reflected over the x-axis.