Mathematics for IGCSE & O level - Sketching Curves (Section 4 - No. 14)

Which of the following is true about the asymptotes of a reciprocal graph of the form \(y = \frac{a}{x-h} + k\)?
Vertical asymptote at x=h and horizontal asymptote at y=k.
Vertical asymptote at x=-h and horizontal asymptote at y=-k.
Vertical asymptote at x=k and horizontal asymptote at y=h.
Vertical asymptote at x=h and horizontal asymptote at y=0.

Explanation

This is the standard form for graphing hyperbolas.

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