+0  
 
0
64
1
avatar+278 

The center of a hyperbola is (1,4) . The length of the conjugate axis is 16 units, and the length of the transverse axis is 20 units. The transverse axis is parallel to the y-axis.

What is the equation of the hyperbola in standard form?

 Jan 16, 2020
 #1
avatar+107405 
+2

Since the transverse axis is parallel to the y axis, we have this form

 

(y - k)^2         (x - h)^2

_______   -   ________  =   1

     a^2               b^2

 

(h, k)  is the center  (1,4)

a  =  20/2  = 10  ⇒  a^2  = 100

b =  16/2  =  8 ⇒ b^2  = 64.we have

 

(y - 4)^2        ( x - 1)^2

_______  -   ________   =    1

  100                  64

 

 

Here's a graph  :   https://www.desmos.com/calculator/mkgqzex2ft

 

 

 

cool cool cool

 Jan 16, 2020

8 Online Users