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La ecuación de la directriz de una parábola con vértice en el origen es x=–8, ¿cuál es la ecuación de la parábola?

User Kazhiyur
by
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1 Answer

3 votes

The equation of the parabola is y = 32x²

How to find this parabola?

We know that the directriz is x = -8, and the vertex is (0, 0)

The equation of a parabola with vertex (h ,k) and leading coefficient a is:

y = a*(x - h)² + k

with the given vertex, we know that this can be writen as:

y = ax²

now, if p is the directrix, in this case we can write:

y = -4px²

Here we have:

p = -8

then:

y = -4*-8x²

y = 32x²

User L Petre
by
8.1k points
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