Sophia is planning on going down an 8-m water slide. Her weight is 50 N. She knows that she has gravitational potential energy (GPE) at various points on the slide. At each point, her GPE can be found by using an equation. GPE = weight × height above ground

Graph her GPE versus height every 2 m as she goes down the slide. Use height in meters above ground on the y-axis. Use GPE in Joules on the x-axis.

Height (m)
GPE (J)
Gravitational Potential Energy (GPE)

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 .

answer///terminator or twilight zone;