The graph of the function \( y=f(x+43) \) can be obtained from the graph of \( y=f(x) \) by one of the following actions: shifting the graph of \( f(x) \) upwards 43 units shifting the graph of \( f(x) \) to the right 43 units shifting the graph of \( f(x) \) downwards 43 units shifting the graph of \( f(x) \) to the left 43 units

The graph of \( y=f(x+43) \) is obtained by shifting the graph of \( f(x) \) to the left 43 units. This is because adding a positive value inside the function argument affects the x-coordinate, resulting in a horizontal shift. Essentially, every x-value needs to be 43 units smaller to achieve the same output in the function, which translates to a leftward move on the graph. This transformation is crucial for understanding functions in algebra and calculus. It emphasizes the importance of grasping how function arguments impact the graph's position. Recognizing these shifts helps in sketching graphs more accurately and in solving equations. So, the next time you see a function modified by adding or subtracting a value inside the argument, remember whether it’s a shift left or right!