What is the equation of the parabola with a focus at (5,3) and a directrix of y= -6?
1 Answer
Sep 7, 2017
Explanation:
#"for any point "(x,y)" on the parabola"#
#"the distance from "(x,y)" to the focus and directrix are"#
#"equal"#
#rArrsqrt((x-5)^2+(y-3)^2)=|y+6|#
#color(blue)"squaring both sides"#
#(x-5)^2+(y-3)^2=(y+6)^2#
#rArrx^2-10x+25cancel(+y^2)-6y+9=cancel(y^2)+12y+36#
#rArrx^2-10x-18y-2=0larrcolor(red)" is the equation"#
