Your friend says to you that “an object’s acceleration is just however it’s moving. For example, if something is moving left, its acceleration is left. If something’s acceleration is to the right, it must be moving right.” What do you say to this friend? Use what you know about velocity and acceleration to

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 .

i would say

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