The graph shows how the distance an object traveled changed over time.

between which two points was the object traveling at the greatest speed?

a.
between points c and d because that slope is the steepest

b.
between points a and b because that segment is the longest

c.
between points b and c because that segment is horizontal

d.
between points a and b because that slope is the steepest

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

source: