<span> we have that standard form of equation for parabola: (x-h)^2=-4p(y-k) (h,k) --------->being the (x,y) coordinates of the vertex. Parabola opens downwards because focus is below vertex on the axis of symmetry. For given problem: </span><span>vertex: (-3,2) axis of symmetry: x=-3 p=distance from vertex to focus on the axis of symmetry=2-(-1)=3 4p=12 Directrix: y=2+p=5 Equation: (x+3)^2=-12(y-2)
The greatest common factor between 8 and 2 is 2. So 2 will go into 8, 4 times. And 2 will go into 2, 1 time. So simplified the equivalent ratio is 4:1.