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range of sin(5x)

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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

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foci y=−2x²−2x−2

Solution

(−12 , −138 )

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Parabola Focus

A parabola is the locus of points such that the distance to a point (the focus) equals the distance to a line (the directrix)

Parabola standard equation

4p(y−k)=(x−h)² is the standard equation for an up-down facing parabola with vertex at (h, k),
and a focal length |p|

Rewrite y=−2x²−2x−2 in the standard form

4(−18 )(y−(−32 ))=(x−(−12 ))²

(h, k)=(−12 , −32 ), p=−18

Parabola is symmetric around the y-axis and so the focus lies a distance p from the center (−12 , −32 ) along the y-axis

(−12 , −32 +p)

=(−12 , −32 +(−18 ))

بسّط

(−12 , −138 )

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أهلاً, اطرح سؤالا حول directrix y=−3x²−2x+65 أو اختر أدناه

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

range of sin(5x)

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