Write an equation of a parabola that opens downward, has a vertex at the origin, and a focus at (0, - 1).

Question

Mathematics

Myles

4 March, 13:52

Write an equation of a parabola that opens downward, has a vertex at the origin, and a focus at (0, - 1).

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Ramos · Answer 1

Y=a (x-h) ² + k, vertex (0,0)

(h, k) vertex, h=0, k=0

y=a (x-0) ²+0=ax

y=ax²

focus (h, k + 1/4*a) focus (0, - 1)

k + 1/4 * a = - 1,

0+1/4 a=-1

1/4a=-1

a=-4

y = ax². y=-4x²