When we translated a point by a units horizontally, we do the following transformation
If a is positive the point goes to the right and if a is negative the point goes to the left.
To translate our point 3 units to the left, we subtract 3 from the x coordinate.
When we translated a point by b units vertically, we do the following transformation
If b is positive the point goes upwards and if b is negative the point goes downwards.
Moving our point 3 units up, we have
And when we dilate around the origin with a factor of dilation k, we do the following transformation
Dilating our point around the origin by a factor of 1/2, we have
The image of C is C''(-3, 2).