Opción D.
Y² / 64 - x² / 49 = 1 ; F(0, ±√133) ; V(0, ±8)
Procedimiento
Vértices
Reescribir en la forma de la ecuación general de la parábola.
<img src="https://tex.z-dn.net/?f=%5Cfrac%7B%5Cleft%28y-0%5Cright%29%5E2%7D%7B8%5E2%7D-%5Cfrac%7B%5Cleft%28x-0%5Cright%29%5E2%7D%7B7%5E2%7D%3D1" />
Aplicando las propiedades de la hipérbola
<img src="https://tex.z-dn.net/?f=%5Cleft%28h%2C%5C%3Ak%5Cright%29%3D%5Cleft%280%2C%5C%3A0%5Cright%29%2C%5C%3Aa%3D8%2C%5C%3Ab%3D7" />
<img src="https://tex.z-dn.net/?f=%5Cleft%280%2C%5C%3A0%2B8%5Cright%29%2C%5C%3A%5Cleft%280%2C%5C%3A0-8%5Cright%29" />
<img src="https://tex.z-dn.net/?f=V%20%5Cleft%280%2C%5C%3A8%5Cright%29%2C%5C%3A%5Cleft%280%2C%5C%3A-8%5Cright%29" />
Focos
Se calcula c.
<img src="https://tex.z-dn.net/?f=c%3D%5Csqrt%7B8%5E2%2B7%5E2%7D" />
<img src="https://tex.z-dn.net/?f=c%3D%5Csqrt%7B113%7D" />
<img src="https://tex.z-dn.net/?f=%5Cleft%280%2C%5C%3A0%2B%5Csqrt%7B113%7D%5Cright%29%2C%5C%3A%5Cleft%280%2C%5C%3A0-%5Csqrt%7B113%7D%5Cright%29" />
<img src="https://tex.z-dn.net/?f=F%20%5Cleft%280%2C%5C%3A%5Csqrt%7B113%7D%5Cright%29%2C%5C%3A%5Cleft%280%2C%5C%3A-%5Csqrt%7B113%7D%5Cright%29" />
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Lat / tarea / 1022267.