Offering 75 points! arrange the parabolas in the correct order. attachment included. 75 points!

With the form f(x+a) the vertex of the parabola will be shifted to left with a>0 and to the right with a<0. The larger the magnitude of a the more shift. So we can simply sort by the value a in descending order:

f(x+3)-->f(x+2)-->f(x)-->f(x-1/2)-->f(x-4)-->f(x-7)

in geometry, parallel lines are lines in a plane which do not meet; that is, two lines in a plane that do not intersect or touch each other at any point are said to be parallel. by extension, a line and a plane, or two planes, in three-dimensional euclidean space that do not share a point are said to be parallel.