Answer:
x² + 4y²+ 2x - 24y + 33 = 0
= (x+1)² + 4(y-3)² - 1 - 36 + 33 = 0
= (x+1)² + 4(y-3)² = 4
= (x + 1)²/2² + (y - 3)²/1² = 1
This is an Ellipse: C(-1,3)
The Standard Form of an Equation of an Ellipse is : (x - h)²/a²/ (y - k)²/b² = 1
where Pt(h,k) is the center. (a variable positioned to correspond with major axis)
a and b are the respective vertices distances from center
and√a² - b²are the foci distances from center: a > b
