Question

enter an ordered pair corresponding to a 90 degree counterclockwise rotation of the point (14,10) about the origin followed by the reflection the line x=6

Answer 1

Hint:
\(R_{90}(x,y)=(-y,x)\)
For reflection about x=k, you would translate to the reflection plane, reflect, then translate back.
so we need the composite transformation:
\(S_{x=k}(x,y)=(x+k,y)o(-x,y)o(x-k,y)\)
which reduces to
\(S_{x=k}\(x,y)=(-(x-k)+k,y)=(2k-x,y))

Answer 2

i'm sorry but that really confused me