(4y + 5) + (-7y - 1)
a. 3y + 4
b. 3y + 4
c. 11y + 4
d. 3y + 6

-3y + 4

Explanation:

(4y + 5) + (-7y - 1)

[ Remove Parenthesis ]

= 4y + 5 + -7y - 1

[ Group Like Terms ]

= 4y - 7y + 5 - 1

[ Add / Subtract Similar Elements ]

4y - 7y = -3y

5 - 1 = 4

= -3y + 4

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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