SOLUTION: use the information provided to write the equation of each parabola focus(-12,0) directrix x=12 please show work

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: use the information provided to write the equation of each parabola focus(-12,0) directrix x=12 please show work      Log On


   

Question 1076439: use the information provided to write the equation of each parabola
focus(-12,0) directrix x=12
please show work
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
Points (x,y) are same distance from point (-12,0) as from point (12,y).

sqrt%28%28x-%28-12%29%29%5E2%2B%28y-0%29%5E2%29=sqrt%28%28x-12%29%5E2%2B%28y-y%29%5E2%29

-
%28x%2B12%29%5E2%2By%5E2=%28x-12%29%5E2%2B0
x%5E2%2B24x%2B144%2By%5E2=x%5E2-24x%2B144
24x%2By%5E2%2B144=-24x%2B144
48x%2By%5E2=0
highlight%2848x=-y%5E2%29 OR highlight%28x=-%281%2F48%29y%5E2%29




example, equation of parabola, given focus and directrix