By definition, a Rotation is a transformation in which a figure is turned about a point called "Center of rotation".
In this case you know that the point H must be rotates 90 degrees clockwise about the Origin. Remember that the Origin is this point:
[tex](0,0)[/tex]
The rule for a 90 degree Clockwise rotation about the Origin, is:
[tex](x,y)\rightarrow(y,-x)[/tex]
Knowing that the Pre-Image is this point:
[tex]H\mleft(-1,-5\mright)[/tex]
You need to apply the rule in order to find the coordinates of it Image after the rotation indicated. This is:
[tex]H\mleft(-1,-5\mright)\rightarrow H^{\prime}(-5,1)[/tex]
The answer is:
[tex]H^{\prime}(-5,1)[/tex]
