Final Answer:
Without the specific details or a visual representation of the graph of y=f(x), it is not feasible to directly sketch the graph of the function f(x+4)-3.
Step-by-step explanation:
To sketch the graph of the function f(x+4)-3 based on the graph of y=f(x), it's essential to understand the effects of the transformations. The term x+4 inside the function implies a horizontal shift to the left by 4 units. This means each point on the original graph is translated to the left. Additionally, the "-3" outside the function implies a vertical shift downward by 3 units, lowering the position of each point on the graph. These transformations can be applied to key points of the original graph, such as the vertex or intercepts, to construct the transformed graph accurately.
It's important to note that the overall shape and characteristics of the original function, such as concavity or symmetry, will remain unchanged by horizontal and vertical shifts. Calculating the new coordinates for specific points after the transformations will allow for an accurate sketch of the transformed graph. Without the details of the original function or a specific graph, the sketching process cannot be completed precisely.
In conclusion, successfully sketching the graph of f(x+4)-3 relies on a clear understanding of the given transformations and the specific features of the original function. Without additional information about y=f(x), the sketch remains a generalized representation based on the described shifts.