Topic explanation

Standard explanation

(x-h)^2a²-(y-k)^2b²=1 has centre (h,k) and translated asymptotes.

Key points

• Translated hyperbolas
• rule
• worked example
• Translated hyperbolas: (x-h)^2a²-(y-k)^2b²=1 has centre (h,k) and translated asymptotes.
• CONCEPT AND RULE: (x-h)^2a²-(y-k)^2b²=1 has centre (h,k) and translated asymptotes.
• METHOD: For translated hyperbolas, identify the given information and required result. Select the matching d
• (x-h)^2a²-(y-k)^2b²=1 has centre (h,k) and translated asymptotes.
• Worked pattern: (x-1)^frac24-(y+2)^frac29=1 has centre (1,-2).

Labelled diagram