Determine a series of transformations that would map polygon ABCDE onto polygon
A'B'C'D'E'?
1-10-9-8-7 -6 -5 -4 -3 -2 -1,
1
2
3
4
5
6
7
8
9 10 11 12
B'
followed by a

A rotation 180° about the origin followed by a translation 3 units down

Step-by-step explanation:

In the figure attached, the polygons are shown.

Rotation 180° about the origin transforms point (x, y) into (-x, -y). Then, points A, B, C, D, E are transformed into:

A (-1, 1) -> (1, -1)

B (-6, 3) -> (6, -3)

C (-6, 6) -> (6, -6)

D (-3, 6) -> (3, -6)

E (-1, 5) -> (1, -5)

Translation 3 units down transforms point (x, y) into (x, y-3). Then, previous points are transformed into:

(1, -1) -> (1, -4) which corresponds to  point A'

(6, -3) -> (6, -6) which corresponds to  point  B'

(6, -6) -> (6, -9) which corresponds to  point  C'

(3, -6) -> (3, -9) which corresponds to  point  D'

(1, -5) -> (1, -8) which corresponds to  point  E'

option c) graph of line going through 1, 4 and 3, 10

step-by-step explanation:

let y equal to margo's coin collection

let x equal to number of years

at the begining x=0, y=1 → point=(x,y)→point=(0,1)

she adds 3 coins per year, then y=1+3x

at x=1, y=1+3(1)=1+3→y=4→point=(x,y)→point=(1,4)

at x=3, y=1+3(3)=1+9→y=10→point=(x,y)→point=(3,10)

the graph of line going through (1, 4) and (3, 10), then the option c is the correct.