Mathematical Methods · reciprocal · manipulative

Rectangular hyperbola y = a/(x − h) + k

The graph of y = 1/x stretched by a and shifted by (h, k) — asymptotes move to x = h and y = k.

y = a/(x−h)+k x = h y = k

Scroll zoom · drag pan · Shift+drag an axis to dilate

Parameters

1
0
0

Scrub a, h, and k freely — watch both asymptotes move with the shifts.

Ghost y = 1/x
compare the parent reciprocal before stretch and shift

Working