1. A rock is kicked off the edge of a cliff that is 127 m high. If its initial velocity is 4.2 m/s in the horizontal direction, how far from the base
of the cliff will the rock land?

it was given as a lesson and guide for prayer.

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 .