The transformation of g(x) to f(x) is (a) stretch it by a factor of 4 and shift it up 6 units
Describing the transformation of g(x) to f(x).
From the question, we have the following parameters that can be used in our computation:
The functions f(x) and g(x)
Where, we have
g(x) = x³
Also, we have
f(x) = 4x³ + 6
First the function g(x) is vertically stretched by 4
So, we have
g'(x) = 4x³
Next, the function is shifted up by 6 units
So, we have
g''(x) = 4x³ + 6
Hence, the transformation is (a)