Topic explanation

Standard explanation

Replace x,y by x-h,y-k to move the centre to (h,k).

Key points

• Translated ellipses
• rule
• worked example
• Translated ellipses: Replace x,y by x-h,y-k to move the centre to (h,k).
• CONCEPT AND RULE: Replace x,y by x-h,y-k to move the centre to (h,k).
• METHOD: For translated ellipses, identify the given information and required result. Select the matching def
• Replace x,y by x-h,y-k to move the centre to (h,k).
• Worked pattern: (x-2)^frac216+(y+1)^frac24=1 has centre (2,-1).

Labelled diagram