This diagram shows a pre-image △abc , and its image, △a′′b′′c′′ , after a series of transformations. select from the drop-down menus to correctly complete the statements. △abc is to become △a′b′c′ . then △a′b′c′ is to become △a′′b′′c′′ . because the transformations are , the pre-image and image are . an x y coordinate plane is shown. in quadrant 2 triangle a b c has vertices at begin ordered pair negative 2 comma 4 end ordered pair, begin ordered pair negative 3 comma 1 end ordered pair and begin ordered pair 0 comma 2 end ordered pair, respectively. in quadrant 1 triangle a prime b prime c prime has vertices at begin ordered pair 2 comma 4 end ordered pair, begin ordered pair 1 comma 1 end ordered pair and begin ordered pair 4 comma 2 end ordered pair, respectively. in quadrant 4 triangle a double prime b double prime c double prime has vertices at begin ordered pair 2 comma negative 4 end ordered pair, begin ordered pair 1 comma negative 1 end ordered pair and begin ordered pair 4 comma negative 2 end ordered pair, respectively.

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:

hello from mrbilldoesmath!

answer:

a(n) - a(n-1) -3

discussion:

this ones a bit interesting. given a(n) = 5 - 3n consider this:

a(n-1) = 5 - 3(n-1)

          = (5 - 3n) + 3             => but a(n) = 5 - 3n, the first term

          = a(n)   + 3                 => subtract 3 from both sides

a(n-1) -3 = a(n)  

or

a(n) - a(n-1) -3

you,

mrb

step-by-step explanation:

because 1/3 is a fraction. we can tell because there is a divisor symbol between the 1 and the 3. if we were to add 2 fractions together, we would add the numerators, which is the number on top, but not the denominators, which is the number on the bottom

1/3+1/3=2/3

hope this !