What is the equation in standard form of the parabola with a focus at (2,3) and a directrix of y= 9?
1 Answer
Aug 30, 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"#
#"with "(x,y)to(2,3)#
#rArrsqrt((x-2)^2+(y-3)^2)=|y-9|#
#color(blue)"squaring both sides"#
#(x-2)^2+(y-3)^2=(y-9)^2#
#rArrx^2-4x+4+y^2-6y+9=y^2-18y+81#
#rArrx^2-4x+12y-68=0#
