Rotation 180° about the origin

Step-by-step explanation:

to rotate about origin by 180 °  also means to  change ( x, y) ⇔( -x,-y)

the double arrows just mean to change into.. or "transform"  ( I think that there might have even been a movie about this,   called   "transformers" :D JK)

T=( -2, 1)

S = ( -4, 3)

R = ( -5, -2)

use the transform  ( x, y) ⇔( -x,-y)

T' = (2,-1)

S' = ( 4, -3 )

R' = (5 , 2 )

if you draw this on a piece of graph paper, you'll see it's the triangle spun 180 °  around the origin  :)

b

step-by-step explanation:

c.

step-by-step explanation:

substitution for (0,1)

y=x^2+4x+1

1=0^2+4(x)0+1

1=0+4(x)0+1

1=4(x)0+1

1=0+1

1=1

substitution for (-3,-2)

y=x+1

-2=-3+1

-2=-2