The parent function f(x) = x2 is vertically compressed by a factor of 1/2 and translated 1 unit right and 3 units down to create g. identify g in vertex form.

Since the function is vertically compressed by a factor of 0.5 then the function is transformed in

Now,  is translated 1 unit right, obtaining the function

Then, is translated 3 units down, obtaining the function

 that is in vertex form and the vertex of   is the point