Question

Question 12 O pts Given (x-1) = 25 (y+5) + = 1. Find the center, vertices, endpoints of minor axis and foci, 9 then graph the ellipse. Label your points with their name, center, vertex, etc.

PLEASE SHOW WORK

Answer 1

1 a² (x-hl? (y-k2² If equation of an ellipse is with br a²x62 then, it's Ů centre is at Chuk) C) vertices are at Chea, k) (ii) foci are at (htae, k) whese e is the escentricit of that ellipse and es *NI- bh a? are & (iv) end points of minor axis (h, kib), Compairing the given equation (2-0)? (945) + - with 25 the above (*) we get h = 1, k=-5 a² = 25 → a= +5 & with a>62 b² = b = ± 3 it's (i) centre is at (1,-5) Cü) vertices are at (115,-5) soy وما ie, at (6,-5) and at (-4,-5) (ii) endpoints of minor axis are of (1, -513) at (1,-2) and at (18-8). ie. & (v) foci are at ( 17 5x13 -5) at (5,-5) and at (-3,-5). e=+NI ay ie [ 9 25 ez] -5 -2 1 3 8 + + + > a А ܢܐ 0 B ) D Here centre is at O (1-5) vertices are A(-4,-5) and B (6,-5) e endpoints of minor axis are cl 1,-2) & D (1,-8) are F. (5,-5) & Fi (-3,-5) and foci

-4 -3 -2 2 3 5 6 AM ..0.OKB/s 79 -2 C(1,-2) -3 -4 A(-4,-5) BT6,-5) LO F2(-3,-5) 0(1,-5) F1(5,-5) -6 -7 bo D(1, -8)