Chapter 4 - 4.3 - Conics - 4.3 Exercises - Page 337: 27

$x^2=\frac{3}{2}y$ Focus: $(0,\frac{3}{8})$

Parabola in the standard form with the vertex at origin (vertical axis): $x^2=4py$ $3^2=4p(6)$ $9=24p$ $p=\frac{3}{8}$ $x^2=4(\frac{3}{8})y$ $x^2=\frac{3}{2}y$ Focus: $(0,p)=(0,\frac{3}{8})$