A graph titled Position versus time for with horizontal axis time (seconds) and vertical axis position (meters). A straight blue line runs with a downward slope from 0 seconds 12 meters to 5 seconds 2 meters. The object represented by this graph is moving

away from the origin at a constant velocity.
away from the origin at a decreasing velocity.
toward the origin at a constant velocity.
toward the origin at a decreasing velocity.

magnified images possible images can be real = projected onto a screen

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 .