Here, we need to understand what is meant by rotating a shape or figure about the origin at an angle of 270 degrees counterclockwisely (against the direction of rotation of a clock)
When we make a rotation such as above, we are simply going to change the coordinates of the points in the figure.
Thus, by rotating a point R with coordinates (x,y) counterclockwisely at an angle of 270 about the origin, te new coordinates of point R becomes (y,-x)
We simply negate the x-value and switch its place with the y-value
In the given question, the coordinates of P is (3,2)
The coordinates of the rotation P' will be (2,-3)
Looking at the graph, we can see the coordinates of the point P'' which is the end of our tranformation.
The coordinates of P'' as seen in the graph is (4,-7)
So we have a change of position from P'(2,-3) to P''(4,-7)
What has simply happened here is that the value 2 (positive 2) was added to the x-coordinate value while the value -4 (negative 4) was further subtracted from the y-coordinate value
So for X , we have ( 2 + 2) and for y, Y we have (-3-4)