Question

1.) Put the conic in standord form by completing the square, please identify which conic it is, and then graph the conic section. Also label each relevant point or asymptotes. Sketch your x - y axis and the conic, and labl the scale on the axes.

c. -9x2 + y2 – 72x – 153 = 0

example sketches:

2.)

Answer 1

1) -92+y^-72% -153 = 0 = -97-72x – 124 ty_920 0-9 (78x+16) +4–920 - 96*747-y-9 f (x+4) - Tart 2 Cathy - 2 = 1 or, - Comis X = x+ 4 Y - Y-O an equation of a "Torytgate hyperbota - whose vertices are X=0 Y=tb where Along xani Each boral vertices are E4,3)-64,-3) Centre a (-4,02 a new Focus =(-4,5) +4 = 3² (0-1) It has no vertical asymptotes 16 and horizonted asymptotes are 25 = 2 2 =13 a ea