Answer:
Explanation:
To transform the equation y = f(x) to y = f(-x) on a graph, follow these steps:
1. Start with the original graph of y = f(x).
2. Replace every occurrence of x in the equation with -x. This means that wherever there is an x in the original equation, it becomes -x in the new equation.
3. Once you have the new equation y = f(-x), plot the corresponding points on the graph. For example, if the original graph has a point (2, 4), the new graph will have a corresponding point (-2, 4).
4. Repeat this process for several points on the original graph, and plot their corresponding points on the new graph.
5. Connect the plotted points on the new graph to form the transformed graph y = f(-x).
By replacing x with -x, the transformation reflects the original graph across the y-axis. This means that each point on the original graph will have a corresponding point on the transformed graph with the same y-coordinate but the opposite x-coordinate.
Remember to label the axes and provide a clear title for the transformed graph to indicate the change that has occurred.