Question

Question 12 O pt Given (2-1) (4+5)2 + = 1. Find the center, vertices, endpoints of minor 25 9 axis and foci, then graph the ellipse. Label your points with their name, center, vertex, etc. + Х please box answers ill thumbs up Upload Choose a File

Answer 1

Giren ellipse equation (x+)2 + lytse at 9 Compare it with standard ellipse equation (7-6) 2 + lyrk)? a 2 1 62 مرو a25 1 Where (h, k) is entre 11,-5). 2a mager axis length a 2- 2a=to I minor axis length 62=9 b= 3, 2b = 6 since center is mid point of minor and magar axis minor axis is X-co-ordinate in same and yr Coordinate is changed (2,-2) by 6 ie (-5-b) or (-stb) then end point is (2,-2) (-4,-5 (-3,-5) Chich = (1,5) So end point of > minoraxis 6 and (1,-0) (6,-5) vertices is endpoint of magor magor axis axts Here y-coordinate will be same but the x-toordinate is changed by forg 5 le 1-a ar lta then the vertices is (1-5, 5) and (fts, as) (-4,-5) and (6,25) foci (2_a2-62 (2 - 25-9 = 16 and axis the major Hence y-condinute is same ir an 8- coordinate is changed by 4 ie (1-4,-5) and (1+4,58) Hence fou is (-3,-5) and 15,us)