Vertical compression question

1. Feb 7, 2006

dragon513

Q. Given f(x)=2(x^2)-4 , determine the new equation g(x) after a vertical compression by a factor of 1/2.

The answer provided by the book is g(X) = (x^2)-2, but shouldn't it be g(x) = (x^2)-4 ?

Help will be much appreciated.

Regards,