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 ) = ( +9.25 )
x2 + 2x + 1 = 2y + 9
write the equation of the parabola.
2. (x+1 ) + ( y +8.75 )?
set the distance from focus to the
point equal to the distance from directrix
to the point.
square both sides and simplify.
3. use (x, y).
4. y = 1 / x² +x-4
5. vx+1 ) + ( y+875 1 =
6. vy+9.25
y +9.25 )?
find the distance from the point on
the parabola to the directrix.
find the distance from the focus to
the point on the parabola.
choose a point on the parabola.