- #1
aisha
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Hi, I need to determine the equation of a parabola given the focus (2,3) and the directrix y=-1
I sketched out a parabola opening up wards with a vertex of (1,1)
I made two distance equations one for any point on the parabola to the focus, and one distance from the directrix to any point on the parabola.
I equated the two equations
sqrt((x+2)^2 + (y+3)^2)) = sqrt((y+1)^2))
I took the square root of both sides and then tried to expand and simplify
I got [tex] x^2 - \frac {1} {4}x + \frac {9} {8} = y [/tex]
there probably are mistakes since this is my first time doing this.
I sketched out a parabola opening up wards with a vertex of (1,1)
I made two distance equations one for any point on the parabola to the focus, and one distance from the directrix to any point on the parabola.
I equated the two equations
sqrt((x+2)^2 + (y+3)^2)) = sqrt((y+1)^2))
I took the square root of both sides and then tried to expand and simplify
I got [tex] x^2 - \frac {1} {4}x + \frac {9} {8} = y [/tex]
there probably are mistakes since this is my first time doing this.