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rango 30-x^3

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`x`²	`x`^□	log_□	√☐	^□√☐	≤	≥	□□	·	÷	`x`^◦	π
(☐)^′	`ddx`	∂∂`x`	∫	∫_□^□	lim	∑	∞	`θ`	(`f` ◦ `g`)	`f`(`x`)

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≥	≤	·	÷	`x`^◦	(☐)	\|☐\|	(`f` ◦ `g`)	`f`(`x`)	ln	`e`^☐
(☐)^′	∂∂`x`	∫_□^□	lim	∑	sin	cos	tan	cot	csc	sec

simplify solve for expand factor rationalize

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directriz y=−2x²−2x−2

Solution

y=−118

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Directriz de una parábola

Una parábola es el espacio de puntos tal que la distancia a un punto (el foco) equivale a la distancia a una linea (la directriz)

Ecuación general de la parábola

4p(y−k)=(x−h)² es la ecuación general de la parábola cuando esta se abre hacia arriba, con vértice en (h, k),
y longitud focal |p|

Reescribir y=−2x²−2x−2 con la forma de la ecuación general de la parábola

4(−18 )(y−(−32 ))=(x−(−12 ))²

(h, k)=(−12 , −32 ), p=−18

La parábola es simétrica al rededor del eje y (ordenadas) y, por lo tanto, la directriz es una línea paralela al eje x (abscisas), una distancia −p desde el centro (−12 , −32 ) en el eje y (ordenadas)

y=−32 −p

y=−32 −(−18 )

Simplificar

y=−118

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−▭▭	<	7	8	9	÷	`AC`
+▭▭	>	4	5	6	×	☐☐☐
×▭▭	(	1	2	3	−	`x`
▭ \|▭	)	.	0	=	+	`y`

rango 30-x^3

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