Plot the image of point B under a dilation about the origin (0,0) (0,0)with a scale factor of 4. Image will be included below.

Answer:
See attachment
Step-by-step explanation:
The mapping for a dilation with a scale factor k, about the origin is given by:
[tex](x,y) \to \: (kx,ky)[/tex]
From the graph, the coordinates of B are (1,1) and the scale factor is k=4.
We substitute into the rule to get
[tex]B(1,1) \to \: B'(4,4)[/tex]
The image of point B is plotted on the graph in the attachment.