Find the standard form of the equation of the parabola with a vertex at the origin and a focus at (0.-4). Oy=-x?
Oy2 = -4x
Oy2 = -16%
Oyə tox?

Step-by-step explanation:

Given

Required

Equation of the parabola (in standard form)

The standard form of a parabola is

Such that

Vertex = (h,k)

Focus = (h, k + p)

For the vertex

This implies that (h,k) = (0,0)

h = 0 and k = 0

For the focus

This implies that (h, k + p) = (0, -4)

Recall that

Hence,

Substitute , in the given formula

becomes

Hence,, the standard form is

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step-by-step explanation:

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