Because he lowered the amount of vegetables and stock, he must want to make a smaller amount of soup. If he wants to make the soup 3 x smaller than the restaurant gave him, he did not use the correct amount of stock. But he did use the correct amount of vegetables. 15 / 3 = 5 22 / 3 = 7R1 He will need only need about 7 cups of stock to make the soup he wants to make.
The giving functions are from dofferent types. transforming a function does not change it's type so it is impossible to transfer f(x)=2 to f(x)=(x-3)^2-1.