Dylan is the best athlete in our school. he plays football, basketball, and baseball and does the pole vault for the track team. he can vault up to five and seventy-three hundredths meters. if he would like to be able to pole vault up to six and twelve hundredths meters, how many more centimeters does he need to pole vault to reach his goal?

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 .