The correct graph for the transformed function g(x) = 2f(x - 3) + 4 is (d)
Identifying the correct graph for the transformed function
From the question, we have the following parameters that can be used in our computation:
The graph of f(x)
Also, we have
g(x) = 2f(x - 3) + 4
The above transformation implies that
- f(x) is vertically stretched by a factor of 4
- Then shifted right by 3 units
- And finally shifted up by 4 units
It also means that the graph of f(x) has the same shape and orientation as g(x)
using the above as a guide, we have the following:
The correct graph for the transformed function is (d)