Final answer:
To translate the graph of y = 1/x to y = 1/x+3 -4, perform two transformations: translate 3 units to the right and 4 units down.
Step-by-step explanation:
To translate the graph of y = 1/x to the graph of y = 1/x+3 -4, we need to perform two transformations:
- Translate the graph 3 units to the right. This can be achieved by subtracting 3 from the x-coordinates of each point on the original graph.
- Translate the graph 4 units down. This can be achieved by subtracting 4 from the y-coordinates of each point on the translated graph.
So, the correct answer is Option C. to the right 3 and down 4.