Hi, 

Standard Form of an Equation of an Ellipse is  

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

(0, -1) and (12, -1), C(6,-1) and minor axis of length 6. b = 3 

 





the vertex form of a Parabola opening up(a>0) or down(a<0),  

where(h,k) is the vertex  and  x = h  is the Line of Symmetry

  x = -3  is the Line of Symmetry 

RELATED QUESTIONS

Find the equation of the ellipse with vertices (0, -1) and (12, -1) and minor axis of... (answered by ewatrrr)

what is the equation for this conic section with An ellipse with vertices (-4, 0) and (4,  (answered by lwsshak3)

15.  find the standard form of the equation of the ellipse with center at the origin,... (answered by lwsshak3)

what is the equation for the ellipse with foci at (±4, 0) and a minor axis of length 6?... (answered by dfrazzetto)

Find the standard form of the equation of an ellipse satisfying these conditions.... (answered by lwsshak3)

What would be the equation of the ellipse whose vertices are at (4,5) and (10,5) and... (answered by lwsshak3)

find the equation of the ellipse with center (-2,3) major axis vertical; length of major... (answered by lwsshak3)

The major axis of an ellipse is 12 units and the foci are at (-4,-1)and (-4,7).Find the... (answered by lwsshak3)

Find the standard equation of an ellipse with a vertices on the major axis at (-1,2),... (answered by ewatrrr)