Match the steps to find the equation of the parabola with focus (-1,2) and directrix x=5. Find the distance from the focus to
1. Use (x, y).
the point on the parabola.
Set the distance from focus to the
2.
x+1)+(y-2)
point equal to the distance from directrix
to the point.
Square both sides and simplify.
Find the distance from the point on
the parabola to the directrix.
3. X-5 )
4. x +1 +(y-2 y = v( x-5 )
(x+1)+( y-2 y = ( x-5 )
y2 - 4y +4 =-12x + 24
6. X=-
Y + + 5
12 33
5.
Choose a point on the parabola.
Write the equation of the parabola.