Dilate the figure by the scale factor. Then enterthe new coordinates.A(2,4)K=4C(-4,1)A'([?],[ 1)8121) B'([],[ ]C'([],[1.

Answers:
A'(8, 16)
B'(8, -4)
C'(-16, 4)
Explanation:
The new coordinates of the figure can be calculated as:
[tex](x,y)\to(k\cdot x,k\cdot y)[/tex]Where k is the scale factor. So, the new coordinates are:
[tex]A(2,4)\to(4\cdot2,4\cdot4)=A^{\prime}(8,16)[/tex][tex]B(2,-1)\to(4\cdot2,4\cdot-1)=B^{\prime}(8,-4)[/tex][tex]C(-4,1)\to(4\cdot-4,4\cdot1)=C^{\prime}(-16,4)[/tex]Therefore, the answers are:
A'(8, 16)
B'(8, -4)
C'(-16, 4)