Match the steps to find the equation of the parabola with focus (-1, -8.75) and directrix y = - 9.25. 1.
(x+1)+( y +8.75 ) = ( y +9.25)
x2 + 2x +1 = 2y +9
Set the distance from focus to the
point equal to the distance from directrix
to the point
2. ( X+1 + ( y +8.75 )
Write the equation of the parabola.
Find the distance from the point on
3. Use (x, y).
the parabola to the directrix.
4.
y=
Square both sides and simplify.
= 3x2+x=4
x+1 ) + ( +8.75 ) = (y +9.25 )?
5.
Choose a point on the parabola.
Find the distance from the focus to
6.
y +9.25
)
the point on the parabola.