#### Answer

$y=(x-3)^2 -4$

#### Work Step by Step

We start with $y=x^2$ and apply the given transformations:
$y = (x-3)^2$ represents the shifting of the parabola $y=x^2$ by 3 units to the right.
Furthermore, shifting down by 4 units is represented by $y=(x-3)^2 -4$. This is the function as drawn in the figure (blue graph in the book).