Refleksi: Transformasi Fungsi

Hello everyone! Today we are learning about function transformations, specifically reflection. Reflection is the mirroring of a graph across a specific axis, changing f of x into a new function g of x.

First, reflection across the x axis. Using the rule y equals negative f of x, the graph is reflected vertically. As shown on the axes, the blue graph f of x flips downward to become negative f of x.

Second, reflection across the y axis. The rule here is y equals f of negative x, meaning the graph is reflected horizontally. Notice how the blue graph f of x mirrors across the center to become f of negative x.

Let's look at an example. If function f of x equals two x plus three is reflected across the x axis, we use the rule y equals negative f of x. By substituting, we get g of x equals negative two x minus three.

In conclusion, for the x axis use y equals negative f of x, and for the y axis use y equals f of negative x. Keep practicing and happy studying!