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(3/4)^2

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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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фокусы y=−3x²−2x+65

Solution

(−13 , 1720 )

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Фокус Параболы

Парабола — это геометрическое место точек, расстояние до точки (фокуса) равно расстоянию до прямой (директрисы)

Стандартное уравнение параболы

4p(y−k)=(x−h)² является стандартным уравнением для обращенной вверх-вниз параболы с вершиной в (h, k),
и фокусным расстоянием |p|

Перепишите y=−3x²−2x+65 в стандартной форме

4(−512 )(y−1915 )=(x−(−13 ))²

(h, k)=(−13 , 1915 ), p=−512

Парабола симметрична относительно оси y, поэтому фокус находится на расстоянии p от центра (−13 , 1915 ) вдоль оси y

(−13 , 1915 +p)

=(−13 , 1915 +(−512 ))

Уточнить

(−13 , 1720 )

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

(3/4)^2

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