Which type of force(s) will cause a change in an object's motion?

Any force that's not cancelled by another force, with identical strength but pointed the opposite way, will cause a change in the object's speed or direction (or both).

When that happens, we say that the forces on the object are "unbalanced", and the object is experiencing "acceleration".

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 .