Transforming f(x) · Matching

Match each transformation of y = f(x) to its graph. New graphs every time.

Drag each equation onto its graph (or tap a card, then a box). Every graph is y = af(bx + c) + d for the graph of y = f(x) pinned at the top of the cards; the red dots show where its marked points go, with their coordinates. a stretches it vertically, d moves it up, b squashes it horizontally and c moves it left. Negative a or b reflect it (in the x-axis or the y-axis).

Equations