To form the graph of the function f(x)=2|x+5|+7 from graph g(x) = |x|, we need to do the following transformations:
1. Since we add 7 on the entire function, the graph of g(x) = |x| has been translated 7 units upward.
2. Since we add on 5 on the value of x, we shifted the graph 5 units to the left.
3. Since we multiplied 2 on the x-value, we are doing a vertical stretch of 2 on the function.
To summarize, the following transformations done to the graph of g(x)=|x| are:
1. Vertical shift of 7 units upward
2. Horizontal shift of 5 units to the left
3. Stretched by a factor of 2 vertically