The graph shows the projected altitude f(x) in thousands of feet of an airplane scheduled to depart an airport at non. If the plane leaves four hours late what function represents this transformation
To determine the function that represents the transformation of the projected altitude f(x) when the plane leaves four hours late, we need to shift the graph horizontally by four units to the right.
If the original function is f(x), the shifted function can be represented as f(x-4). This is because when the plane leaves four hours late, the time x will be four units greater than the original time.
Therefore, the function that represents this transformation is f(x-4).
To determine the transformation of the graph when the plane leaves four hours late, we need to shift the original function f(x) horizontally by four units to the right.
The general form of a horizontal shift for a function f(x) is given as f(x - h), where h represents the amount of shift.
Therefore, to represent the transformation of the graph when the plane leaves four hours late, the function will be f(x - 4).
To determine the equation that represents the given transformation of a function, we need more information about the graph or the original function. Without any further details or the actual equation, it is not possible to provide the exact equation that represents the transformation.
However, I can provide you with general steps to find the equation of a transformed function based on the given information:
1. Identify the original function: Look at the initial graph and try to determine the original function before any transformations were applied. The original function might have been a simple linear function, a quadratic equation, or any other type of function.
2. Determine the transformation: Evaluate the specific transformation that has occurred to the original function. In this case, we know that the plane left four hours late, so there is likely a horizontal translation to the right by four units.
3. Apply the transformation to the original function: Once you have identified the original function and the transformation, you can modify the equation of the original function by applying the corresponding transformation. In the case of a horizontal translation to the right by four units, you would replace x with (x - 4) in the equation of the original function.
Again, without knowing the original function or having more information about the graph, it is not possible to provide the exact equation representing this transformation.