## Answers

#### Explanation:

#"for any point "(x,y)" on the parabola"#

#"the distance from "(x,y)" to the focus and"#

#"the directrix are equal"#

#"using the "color(blue)"distance formula"#

#rArrsqrt((x-3)^2+(y+10)^2)=|y+6|#

#color(blue)"squaring both sides"#

#rArr(x-3)^2+(y+10)^2=(y+6)^2#

#x^2-6x+9cancel(+y^2)+20y+100=cancel(y^2)+12y+36#

#rArrx^2-6x+8y+73=0" is the equation"#

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