To determine the coordinates of point C after dilation by scale factor k=1/2, you have to multiply each coordinate of the original point by the scale factor, following the rule:
[tex](x,y)\to(\frac{1}{2}x,\frac{1}{2}y)[/tex]
First, determine the coordinates of C. The point is over the x-axis, so the y-coordinate is zero, the x-coordinate can be read from the graph, it is x=2
C(2,0)
Calculate the dilation as follows:
[tex]C(2,0)\to C^{\prime}(\frac{1}{2}\cdot2,\frac{1}{2}\cdot0)=C^{\prime}(1,0)[/tex]
The coordinates of point C after the dilation are C'(1,0)
