What is the standard form of the equation of the parabola with a directrix at x=-6 and a focus at (12,-5)?
1 Answer
Sep 10, 2017
Explanation:
"for any point "(x,y)" on the parabola"
"the distance from "(x,y)" to the focus and directrix"
"are equal"
"using the "color(blue)"distance formula"
sqrt((x-12)^2+(y+5)^2)=|x+6|
color(blue)"squaring both sides"
(x-12)^2+(y+5)^2=(x+6)^2
rArrcancel(x^2)-24x+144+y^2+10y+25=cancel(x^2)+12x+36
rArry^2+10y-36x+133=0
