Y=|x+5|if x<-5

rewrite without absolute value

here u go

Step-by-step explanation:

y= <5+5

a) (-2,-6)

b) (3, -5)

c) (3 ,2)

d) (8,-9)

Step-by-step explanation:

a) You have to use the Rotation Matrix, which is and it has to be multiplied by (x,y) which is equal to (2,6)

Then after the multiplication you´ll obtain (-2,-6)

b) You have to use the Rotation Matrix which is and multiplied for the vector (5,3) you´ll obtain (3, -5)

c) The Rotation Matrix for a rotation of 90° is given by and again after the multiplication you´ll obtain (3,2)

d) The Rotation Matrix is given by  hence after the multiplication fo the roation matrix and the vector you´ll obtain (8,-9)

The answer of 5 and 6 is the matrix that I already wrote down on the excercises.