Example 4
To the function 𝑓𝑥, perform the following transformations in this order: a horizontal dilation by a factor of 3, a vertical dilation by a factor of 2, a horizontal translation by 5 units. 
Starting: 𝑓𝑥
After horizontal dilation by a factor of 3:
After vertical dilation by a factor of 2:
After horizontal translation by 5 units:
If the point 12,6 is on the graph of 𝑓𝑥, find the corresponding point on the transformed graph.