In the graph the function f(x) = x² has been reflected across the —
y-axis.
To reflect a function across the x-axis, you need to negate the function's y-values. In this case, the function f(x) = x^2 will be reflected across the x-axis.
To reflect the function across the x-axis, follow these steps:
Step 1: Start with the original function f(x) = x^2.
Step 2: Replace all the positive y-values with their negatives.
For example, if you have a point (1, 1) on the original graph, after reflecting it across the x-axis, the new point would be (1, -1).
Step 3: Plot the new points on the coordinate plane.
Step 4: Connect the points to create the reflected function graph.
Now you have the graph of the reflected function f(x) = -x^2, which is the original function reflected across the x-axis.