The center of a hyperbola is (-3,2). The length of the conjugate axis is 12 units, and the length of the transverse axis is 8 units. Thetransverse axis is parallel to the y-axis.What is the equation of the hyperbola in standard form?

Answer:(y − 2)² / 16 − (x + 3)² / 36 = 1Step-by-step explanation:The conjugate axis is the axis of symmetry.  The transverse axis is the line connecting the vertices of the hyperbola.  Since the transverse axis is parallel to the y-axis, this is a vertical hyperbola:(y − k)² / a² − (x − h) / b² = 1where (h, k) is the center of the hyperbola, a is half the length of the transverse axis, and b is half the length of the conjugate axis.Here, the center is (-3, 2), a = 8/2 = 4, and b = 12/2 = 6.(y − 2)² / 16 − (x + 3)² / 36 = 1