I'm going insane. I can't figure out how the book is getting one answer and me a completely different.

So here's the problem:

Graph using transformations: f(x)=1/4x^2-2

My process:

y = x^2

x|y

-2|4

-1|1

0 |0

1 |1

2 |2

so next would be this right?

y=1/4(x^2) so y * 1/4, right? according to the book, WRONG!

The book says that the next step would be a vertical compression of 2. What? huh? Where the hell is there a *2 in this?

I'm sure it's some algebra that I'm just over looking, but any help at all would be appreciated!