Answer with explanation:
After dilation about the origin(0,0) with the scale factor of 'k" , the image of the original point (x,y) becomes (kx,ky)
From the given graph, the coordinates of point C = (0,6) [Since it lies on y-axis , the x-coordinate is zero]
After a dilation about the origin(0,0) with the scale factor of [tex]\dfrac{1}{2}[/tex], the new point will be [tex](\dfrac{1}{2}\times0,\dfrac{1}{2}\times6)=(0,3)[/tex]
Now plot this point on y-axis at y=3 as given in the attachment.
