It is known that the square of Y and x plus 1 is in positive proportion, and when x = 2, y = 10, find the functional relationship between Y and X

It is known that the square of Y and x plus 1 is in positive proportion, and when x = 2, y = 10, find the functional relationship between Y and X


y=k(x^2+1)
Substituting x = 2, y = 10 gives k = 2
So: y = 2 (x ^ 2 + 1)