1. A family consists of 8 members: 2 grandparents, 1 parent, 3 sons and 2 daughters. The family is lining up to take a family picture. a) Algebraically determine the number of line ups possible if the grandparents must be on the two ends.

Step-by-step explanation:

if there are 10 all up and 1 is taking the photo subtract 1

given that triangle abc is transformed two times to get triangle

a"b"c"

first abc is transformed in to a'b'c' as follows:

the coordinates of a are (1,-1) and transformed into a'(-1,1)

similarly b (4,-2) became b'(-4,2) and

c(7,-2) became c'(-7,2)

i.e. (x,y) becomes (-x,-y)

this is nothing but reflection about a point here origin.

thus first transformation is reflection on the origin.

next is exactly shifting 3 units down

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