Find the equation of the parabola determined by the given information vertex at the origin, focus at (0,-5)
A. Y^2=-20x
B. Y=-1/5x^2
C. Y^2=-5x
D. Y=-1/20x^2
To determine the equation of a parabola with the vertex at the origin and the focus at (0, -5), we can use the general equation of a parabola:
y^2 = 4px
where (0, p) is the focus of the parabola. In this case, p = -5.
Therefore, the equation of the parabola with the given information is:
y^2 = 4(-5)x
y^2 = -20x
So, the correct answer is:
A. y^2 = -20x