# ПIYAу.42XШyAуIV212хх9-26 Graphing Hyperbolas An equation of a hyperbola isgiven. (a) Find the vertices, foci, and asymptotes of the hyper-bola. (b) Determine the length of the transverse axis. (c) Sketch agraph of the hyperbola.1,22+t y A21UOkey210.= 116

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15 views help_outlineImage TranscriptioncloseП I YA у. 4 2 X Ш yA у IV 2 1 2 х х 9-26 Graphing Hyperbolas An equation of a hyperbola is given. (a) Find the vertices, foci, and asymptotes of the hyper- bola. (b) Determine the length of the transverse axis. (c) Sketch a graph of the hyperbola. 1,2 2 +t fullscreen help_outlineImage Transcriptionclosey A 21 UOke y2 10. = 1 16 fullscreen
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Step 1

Given,

An equation of a hyperbola is

Step 2

An equation can be written as

Step 3

a)

... help_outlineImage Transcriptionclose=1 with standard equation of hyperbola- a2 1, we get Compare 32 a 3, b 4 The vertex and foci of the hyperbola with center at origin is (0,ta) and (0,tc) respectively where c a +b2 . = lis (0,3) and (0,-3) and foci are 16 Therefore, the vertex of hyperbola 9 (0,#/3 +4°) =(0,+5) fullscreen

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