Question

Find an equation for the hyperbola that satisfies the given conditions. Foci: (0, +6), vertices: (0, +1) Need Help? Read It Watch It Talk to a Tutor [-70.83 Points] DETAILS SALGTRIG4 12.3.041. Find an equation for the hyperbola that satisfies the given conditions. Vertices: (+1,0), asymptotes: y = 5x Need Help? Read It Watch It Talk to a Tutor [-70.83 Points] DETAILS SALGTRIG4 12.3.043.MI. Find an equation for the hyperbola that satisfies the given conditions. Vertices: (0, +4), hyperbola passes through (-5, 6)

Answer 1

VO Date: Sol foci ( 0,+6) and vertices (O, +1) we know that the eqºof nypesbola is yo x² =1 02 62 and fou vertes = 10, Ia), Giren derties= (0, £1) - so (a=1 = (0,16), Ceiven (0,£6) Tc = 6] we know that c²= a ²6² (6) ² = 012 62 36-1 (6²=35 -62 Required ea of hyperbola y ² 22 1 a2 y 1 x2 35

NO Date: 1 Soll! 15x y Vertices (+1,0) The center of our we have asymptotes hyperbola 1 (0,0) a = 1 and b = 5 a b-5 given formula y2 = 1 x2 a2 x2 y² = (532 у2 I 25

Page No. Date: sols vertius (0, 24), hyperbola passes through (-5,6) Given vestius 10,4) and (0-4) and pasces through (-516) Ciren hypeobola has a vestical transverse origin ya axis 1 92 62 2 a=4 (distance from Center to vestices a = 16 ceiven point (-516) 1652 - +5)= 1 ego becomes (4) 2 -62 be 36 - 25 = 1 16 36.1 = 36-16 62 To - 20 TO 16 9 bi 20 25x16 204

Now ear of hyperbola у x² 1