Answer:
A vertical stretch by a factor of 2
Explanation:
Let's describe the transformation applied to the function f(x) = x + 5 to obtain g(x) = 2f(x).
The original function f(x) = x + 5 is a linear function with a slope of 1 and a y-intercept of 5.
Now, when we consider the function g(x) = 2f(x), every y-value in f(x) is multiplied by 2. This means that the function is vertically stretched by a factor of 2.
In summary, the transformation from f(x) to g(x) involves a vertical stretch by a factor of 2. The slope remains the same, but the y-values are doubled, leading to a steeper graph for g(x) compared to f(x).