Question 976508
That's right!  Use the distance formula and the definition of a parabola, according to your given focus and directrix.


The parabola described is the set of (x,y) points which conforms to
{{{sqrt((x-3)^2+(y-4)^2)=sqrt((x-x)^2+(y-(-2))^2)}}}


Simplify that equation.


(BEGIN BY WORKING INSIDE GROUPING SYMBOLS, CONTINUE BY SQUARING BOTH SIDES OF THE EQUATION, AND THEN,... <b>finish to SIMPLIFY</b>!)