Example 6: Reflections
The graph of 𝑔𝑥 is the image of the graph of 𝑓𝑥 after the following transformations in the following order: Horizontal dilation by a factor of 13, reflection over the 𝑥-axis, horizontal translation −2 units
A) Find an equation for 𝑔𝑥 in terms of 𝑓𝑥.
B) If the point 6,10 is on the graph of 𝑓𝑥, find the corresponding point on the graph of 𝑔𝑥.