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Background  Vocabulary Ellipse- The set of all points (x,y) such that the sum of the distances between (x,y) and two distinct fixed points (foci) are constant. Focus- The fixed points of the ellipse.LP .d  Vocabulary ~Vertices- The points on a line that pass through the foci on the major axis. Covertices- The endpoints of the minor axis."~R # Vocabulary Major Axis- The axis that joins two points on an ellipse farthest from its center. Minor Axis- The axis that joins the points on the ellipse nearest its center.Sample Problems Sample ProblemslPut the equation in standard form. 49x2 + 16y2 = 784 Divide both sides of the equation by 784. Simplify: Jm&  ? 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Write an equation in standard form for the ellipse. Step #1- Plug a and b into the equation X2 + y2 = 1 42 Step #2 - Simplify the equation X2 + y2 = 1 4 16 d8   6  2(       8X   0P@JX 0X 0H  0޽h ? 33___PPT10u..I6P+D=' = @B + e 0L0 p"(  r  S `g_^   x  c $h_.    0 TA &? ?   &  0 TA '? ?   '   0P@KX 0X 0H  0޽h ? ___ff3ff___PPT10i.J`@+D=' = @B += e 0L0 <4 (   r   S `V_^  r   S $W_^   "   0P@TX 0X 0H   0޽h ? ___ff3ff___PPT10i.J *+D=' = @B + e 0L0 }` (  x  c $Dpo     0P0 @ 2    0(0 @ 2 e   0 0`PW  A calculator will help to simplify the equations involved in an ellipse but not graphing. There are websites that will help with graphing ellipses. 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