we have that
4x² + 6y² = 24
divide everything by 24
4x²/24 + 6y/24² = 24/24--------> x²/6 + y²/4 = 1
a²=6------> a=√6
b²=4------> b=2
a>b----------> the major axis is parallel to the x-axis
the center is the point (0,0)
(h,k) is (0,0)
c²=a²-b²
c²=6-4
c=√2
vertices:
(h-a,k) and (h+a,k)
(0-√6, 0) and (0+√6, 0)
(-√6, 0) and (√6, 0)
Foci:
(h-c, k) and (h+c, k)
(0-√2, 0) and (0+√2, 0)
(-√2, 0) and (√2, 0)
