Graph the image of the figure after a dilation with a scale factor of 2 centered at (−2, −2) .

Let me show you how to  find  a new vertex

The formula is

New vertex  =   [ Old Vertex  - Dilation Center ] * (Scale Factor)  +  Dilation Center

So....let's call    (-5, 2)  =  A

To find A' we have

A'  =   [ (-5, 2)  - (-2, -2) ] * 2   + (-2, -2)

A'  =  [  (-3, 4) ] * 2   +  (-2, -2)

A' = (-6, 8)  +  (-2, -2)

A'  =  (-8,  6)

I'll  let you work out the other three.....if you get stuck, let me know....