Which of the following best describes the difference between two different units of distance in space?
1.An AU is useful for measuring objects fewer than 300 light-years
from Earth; a parsec is useful for measuring objects more than 300
light-years from Earth.
2.An AU is calculated by dividing kilometers by 150 million; a light-year
is calculated by determining how long it takes and object to travel
150 million AUs.
An AU is useful for measuring distances within the solar system; a
light-year is useful for measuring distances beyond the solar system.
An AU equals the distance between Earth and the Sun; a parsec
equals the angle between an object's apparent positions when viewed
from two different locations.

An AU equals the distance between Earth and the Sun; a parsec

equals the angle between an object's apparent positions when viewed

from two different locations.

Explanation:

Light year is the distance light travels in one Earth year.  1 light year is equal to .

An astronomical unit  (AU) is the average distance between the earth and the sun.  An AU is approximately 150 million km.

A parsec is the distance at which one astronomical unit subtends an angle of one second of arc.  1 parsec is equal to 20600 AU.

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 .