Given:
The original shape has coordinates (x,y).
The applied transformation to obtain the new shape is,
[tex](x,y)\rightarrow(2x,2y+3)[/tex]To determine whether the new shape congruent to the original shape or not:
As we know,
The dilation can be described in coordinate notation as,
[tex]x,y\to\mleft(nx,ny\mright)[/tex]Where n is the scale factor.
So, the scale factor of the new graph is 2 and translated 3 units upward direction.
Therefore, the new shape is not congruent with the original shape. Because the shape was dilated and translated.
Hence, the correct option is B.