Question 745665
You can solve this specifically through equation in standard form.  Use the (5,-4) to help find the 'a' value of the equation as written in standard form.  
{{{y=a(x-h)^2+k}}} standard form with center (h,k).
{{{y=a(x-3)^2-5}}} initially, and then
let x=5 and y=-4 to find 'a'.


Now, with the complete equation in standard form, just carry through the operations to convert the standard form equation into general form, and directly read the values of 'a', 'b', and 'c'.  Do what you need with them.