+23 The center of a hyperbola is (−8,4) . The length of the conjugate axis is 12 units, and the length of the transverse axis is 4 units. The transverse axis is parallel to the x-axis. What is the equation of the hyperbola in standard form? Drag expressions to the boxes to correctly complete the equation.
+128475 Center = (-8, 4) = (h, k)
Since the transverse axis is parallel to the x axis, this hyperbola opens left/right
The length of the transverse axis = 4 units... so a = 2
And b = 12/2 = 6
So....the equation is
( x + h)^2 (y - k)^2
_________ - ________ = 1
a^2 b^2
( x + 8)^2 ( y - 4)^2
___________ - _________ = 1
4 36
Here's the graph : https://www.desmos.com/calculator/zuuet2usbm
