The electric field is zero everywhere except in the region 0≤x≤8.00 cm, where there is a uniform electric field of 100 n/c in the +y direction. a proton is moving in the +x direction with a speed of v = 1.00×106 m/s. when the proton passes through the region 0≤x≤8.00 cm, the electric field exerts a force on it. 1) when the x coordinate of the proton’s position is 8.00 cm, what is the x component of its velocity? (express your answer to three significant figures.)

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 .

a. vertically

explanation:

i tried it and took the test

if im wrong then we have different tests