General Form to Standard Form, With Help
View the Lesson | MATHguide homepage Updated April 14th, 2017


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    4x2 + 16y2 - 32x + 96y + 144 = 0 is the general form of an ellipse. Write the equation of this conic section in standard form by filling in the appropriate values for each open response.

Step 1:4x2 - 32x + 16y2 + 96y =  
Step 2: 4(x2 - 8x) + 16(y2 + y) =  
Step 3: 4(x2 - 8x + ) + 16(y2 + y + ) =  
+ 4()
+ 16()
 
Step 4: 4(x - )2 + 16(y + )2 =  
Step 5:
(x - )2  (y + )2
+
 
=