Answer:
[tex](-\frac{3}{2},-1)[/tex]
Step-by-step explanation:
From the graph in the attachment Y has coordinates:Y(3,2)
The transformation rule for a dilation with a scale factor k about the origin is:
[tex](x,y)\to (kx,ky)[/tex]
In this case we have [tex]k=-\frac{1}{2}[/tex]
We substitute the coordinates and [tex]k=-\frac{1}{2}[/tex] to get:
[tex]Y(3,2)\to Y'(-\frac{1}{2}*3,-\frac{1}{2}*2)[/tex]
This simplifies to:
[tex]Y(3,2)\to Y'(-\frac{3}{2},-1)[/tex]
The first choice is correct.
