James and juan were at the highest point in the football stadium, dropping water balloons on people below. many of the balloons did not break, so the boys added more water to the balloons. what impact did adding water have on the balloons' potential energy? a) it had no impact; it just made the balloons bigger. b) the gravitational potential energy increased because the mass increased. c) the gravitational potential energy decreased because the diameter increased. d) the gravitational potential energy remained constant because they did not increase the height.

we have been given a quadratic function and we need to restrict the domain such that it becomes a one to one function.

we know that vertex of this quadratic function occurs at (5,2).

further, we know that range of this function is .

if we restrict the domain of this function to either or , it will become one to one function.

let us know find its inverse.

upon interchanging x and y, we get:

let us now solve this function for y.

hence, the inverse function would be if we restrict the domain of original function to and the inverse function would be if we restrict the domain to .