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These notes provide instructions on how to find the vertex, axis of symmetry, direction of opening, and focal points of parabolas represented by quadratic equations. The notes include examples for the equations y = x²z, 6x + 6, and y = 2x² + 16x + 35, as well as instructions for writing the quadratic equation in staar form and graphing the parabola. The document also includes a diagram for the equation 4x - 13 - y² + 2y = 0.
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1 y=xZ 6x+
Per
f /
f,
l! Z ' .//
axis of symmetry (^) ;%ÿ ;''' + 2
direction of opening', {Z )
vertex', ÿi!, % ÿ'
"I '::+. 1 axis of symmetry:
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' }
.
,
i I )
vertex: ( 'ÿ! , ':,:ÿ)I
vertex:_ (; Z i ) ,
axis of symmetry: ,ÿ,. ÿ#'
parabola. Also graph the vertex, axis of symmetry, focus, and directrix.
. 4x - 13 - y2 + 2y = 0
i
I ;
i
--+--
1----+---- I
....
i i i i
i i i
pÿ
, 8y + 26 l- -2xz + 20x
oE I IE I I I I ,_ÿ [ I I I I
direction of opemng: ÿ: i:i ÿ/:ÿ:= ÿ/ÿ