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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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)
Fred
4.485 Answers
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)
Respuesta:
(y - 2)^2 = 8(x - 3)
2. Determinar $h = 3$, $k = 2$, y resolver para $p$ con $h + p = 5$.
3. Sustituir $h$, $k$ y $p$ en la fórmula estándar de la parábola.
4. Simplificar la ecuación.
Respuesta:
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