Explain it to me. How do you came up with 2 vertice (0,2) and (6,2)asymptotes y = 2²The Standard form of Hyperbola is; with horizential.tranverge aus.in thevertices of thethe(x-7) ²_ (y-x)² =1-9²6²given verticyI Coordinaty of both thehyperbola are Jame, it meary.thatand y= 4-2SolutionHyperbola hay horizontal tranyverse axis.vertice are (hta, k)Cluation of asymptotes,.g=k+ b (x-h) and y=k-b(x-h)"the midpoint of the vertices;: Center isCenter (tok) = (0+ 6, 2+2).2a= 6-02a=6a=3(h.k)= (3,2)The distance between the verticy is qual to 29,(2-3) ²323Comparing the equations of asymplatey and Ⓡ,+ 6 = +32b=2valuy of (h.K)3aand2b put in quation 1,(y-2)² = 122

Answered: Image /qna-images/answer/79d803e2-acf6-4169-b4a2-4bb233f4e02e.jpg

vertice (0,e) and (6,2) asymptotes y = ax and y=4-22 The Standard form of Hyperbola is; with horrential tranverge asy. (x-4) ²- (y-x)² = 6² in the given vertices verticy of the the I Coordinate of both the hyperbola are same, it meary that Hyperbola hay horizontal tramvyverse axis. verticey are (hta, k) Cluation of asymptotes, F y=k+b(x-h) and y=k-b(x-h) "the mild point of the a : Center is "vertice); Center (hak) = (0+62+2) (²) Solution (h, k) = (3,2) The distance between the verticy is qual to 29, 2a= 6-0 a=3 Comparing the equations of asymptoty and Ⓒ, b=2 valuy of (h.K) (2-3)² 3² 3 and → b put in quation 1, (y-2)² = 1

vertice (0,e) and (6,2) asymptotes y = ax and y=4-22 The Standard form of Hyperbola is; with horrential tranverge asy. (x-4) ²- (y-x)² = 6² in the given vertices verticy of the the I Coordinate of both the hyperbola are same, it meary that Hyperbola hay horizontal tramvyverse axis. verticey are (hta, k) Cluation of asymptotes, F y=k+b(x-h) and y=k-b(x-h) "the mild point of the a : Center is "vertice); Center (hak) = (0+62+2) (²) Solution (h, k) = (3,2) The distance between the verticy is qual to 29, 2a= 6-0 a=3 Comparing the equations of asymptoty and Ⓒ, b=2 valuy of (h.K) (2-3)² 3² 3 and → b put in quation 1, (y-2)² = 1

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter11: Topics From Analytic Geometry

Section11.3: Hyperbolas

Problem 36E

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Similar questions

Find an equation in standard form of each parabola described. Vertex at (0,2); directrix at y=3
A parabola is the set of all points in the plane that are equidistant from a fixed point called the ______ and a fixed line called the _______ of the parabola.

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