SOLUTION: give the coordinates of the focus and the equation of the directrix for the parabola with equation y=-(1/2)x2

SOLUTION: give the coordinates of the focus and the equation of the directrix for the parabola with equation y=-(1/2)x2

Algebra.Com

Question 200171: give the coordinates of the focus and the equation of the directrix for the parabola with equation y=-(1/2)x2
Answer by RAY100(1637) (Show Source): You can put this solution on YOUR website!
y = (-1/2) x^2
.
-2y = x^2,,,,,but x^2 = 4py ( standard form)
.
4py = -2y
.
p = -1/2 ,,,,,,focus (0,p),,,, or focus ( 0 , -1/2)
.
Directrix = -p (standard form),,,,Directrix = - (-1/2),,,or directrix = 1/2
.
RELATED QUESTIONS
Graph and give the coordinates of the focus point, and give the equation of the directrix (answered by lynnlo)

find the equation of the parabola with the given focus and directrix. focus... (answered by josgarithmetic,greenestamps)

find an equation of the parabola with focus (2,-3) and directrix... (answered by josgarithmetic)

What are the focus and directrix of the parabola with the equation y = 1/12x2? focus: (answered by MathLover1)

18. Write an equation of a parabola with the given focus and directrix. Focus-(0,3),... (answered by ewatrrr)

graph the parabola with the following equation.. Give the focus coordinates, vertex... (answered by lwsshak3)

find the equation of a parabola with the focus (-1,-4) and directrix... (answered by robertb)

FIND THE EQUATION OF THE PARABOLA WITH FOCUS (2,5) AND DIRECTRIX Y =... (answered by lwsshak3)

find the equation of the parabola with its focus at (-4,7) and directrix... (answered by lwsshak3)