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axe (y-2)=3(x-5)^2

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axis (y−2)=3(x−5)²

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x=5

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(y−2)=3(x−5)²

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−2)=3(x−5)² in the standard form: 4· 112 (y−2)=(x−5)²

Therefore parabola properties are:

(h, k)=(5, 2), p=112

Parabola is of the form 4p(y−k)=(x−h)² and is symmetric around the y-axis
Axis of symmetry is a line parallel to the y-axis which intersects the vertex:

x=5

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

axe (y-2)=3(x-5)^2

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