Question

CONIC SECTIONS Graphing a hyperbola given its equation in standard form v + Х Graph the hyperbola. please box where to put points (y+4) (x-5) 1 25 16 14 0 3 UN P 12

Answer 1

(y + 4)2 25 (x - 5)2 16 = 1 Hyperbola standard equation (y – k)? (x - 1)2 = 1 is the standard equation for an up-down facing hyperbola with center (h,k), semi - axis a and semi-conjugate - axis b. Rewrite lv )2 (x+5) 2 (v+4)2 _ (x - 5)2 =1 in the form of a standard hyperbola equation (v - (-4) 2 (x- (x - 5)2 = 1 52 Therefore Hyperbola properties are: (h, k) = (5.-4), a = 5, B = 4

10 -10 10 -10 -20

10 -10 0 10 20 --10 -20