Answer:
(4,12) (4,-8)
Step-by-step explanation:
you can find the distance from the foci to the center of a hyperbola using the formula c2 = a2 + b2.
in this equation we have both a and b, so substitute the values into the equation...
c2 = 64 + 36
c2 = 100
square root
c=10
therefore the distance from the foci from the center is 10 units.
since the equation has the y term first, the transverse axis is vertical. so 10 y units from the center which is (4,2) is (4,12) and (4,-8)
making the answer be (4,12) and (4,-8).
Hope this helped :)
