Plot the image of point C under a dilation about the origin (0,0) with a scale factor of 1/2

Answer:
See Attachment for graph
Step-by-step explanation:
Given
Point C
Required
Plot C when dilated by 1/2
First, we have to determine the coordinates of point C
From the attached graph;
[tex]C = (0,6)[/tex]
Next, is to determine the new point when dilated;
This is calculated as thus;
[tex]New\ Point = Old\ Point * Scale\ Factor[/tex]
[tex]C' = (0,6) * \frac{1}{2}[/tex]
Expand the bracket
[tex]C' = (0 * \frac{1}{2}, 6* \frac{1}{2})[/tex]
[tex]C' = (0, \frac{6}{2})[/tex]
[tex]C' = (0, 3)[/tex]
This implies that C' will be plotted at x =0 and y = 3
(See attached for point C')