How would you graph g(x) = -f(x-5)?

Thanks!

To graph the function g(x) = -f(x-5), you need to follow these steps:

1. Start with the graph of f(x). If you don't have the graph of f(x), you can create one by plotting points or using the equation of f(x).

2. Shift the original graph of f(x) horizontally by 5 units to the right. This is done by subtracting 5 from the x-values of each point on the graph of f(x). For example, if there is a point (2, 4) on the graph of f(x), after shifting, it would become (7, 4).

3. Reflect the shifted graph of f(x) about the x-axis to obtain -f(x-5). This is done by changing the sign of the y-values of each point on the graph. For example, if there is a point (7, 4) on the shifted graph, after reflecting it becomes (7, -4).

4. Finally, plot the points obtained from the reflection, connect them with a smooth curve, and label the graph as g(x).

By following these steps, you can accurately graph the function g(x) = -f(x-5).