Example 10
To the function 𝑓𝑥, perform the following transformations in this order: a horizontal dilation by a factor of 12, a vertical translation by −3 units, a reflection over the 𝑥-axis.
Starting: 𝑓𝑥
After horizontal dilation by a factor of 12:
After vertical translation by −3 units:
After a reflection over the 𝑥-axis:
If the domain of 𝑓𝑥 is −4,10 and the range of 𝑓𝑥 is −5,5, find the domain and range of the transformed function.