The graph of  is shifted 5 units _________ of g(x) - axis and 3 units __________ of x - axis.A Right, Up B Right, Down C Left, Down D Right, Right

To determine the correct answer, we need to analyze the shifts in the graph and their directional implications:

1. Shifting 5 Units:

   • A shift to the right means the function's input increases, thus the graph is shifted positively along the x-axis.
   • Conversely, a shift to the left would imply a negative increase in the function's input.

2. Shifting 3 Units:

   • A shift upwards indicates an increase in the function's output, thus moving positively along the y-axis.
   • A downward shift indicates a decrease, meaning the function's output is reduced.

Now we can match this analysis to the provided options:

• Option A: Right, Up
• Option B: Right, Down
• Option C: Left, Down
• Option D: Right, Right

In this case, if the graph is shifted 5 units to the right (positive x-direction) and 3 units up (positive y-direction), the correct answer is:

Final Answer

A. Right, Up