Find the equation of the parabola in its ordinary forms, whose vertex is at the point (3, 2) and its focus at F(5, 2)



Answer to a math question Find the equation of the parabola in its ordinary forms, whose vertex is at the point (3, 2) and its focus at F(5, 2)

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1. Identificar vértice $(3, 2)$ y foco $F(5, 2)$.
2. Determinar $h = 3$, $k = 2$, y resolver para $p$ con $h + p = 5$.
3 + p = 5
p = 2
3. Sustituir $h$, $k$ y $p$ en la fórmula estándar de la parábola.
(y - 2)^2 = 4 \cdot 2 \cdot (x - 3)
4. Simplificar la ecuación.
(y - 2)^2 = 8(x - 3)


(y - 2)^2 = 8(x - 3)

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