World 1 · Functions & Limits · 6 minShifting & scaling
Transforming any graph
Teaching this? Open projector mode
Four moves reshape any graph: add to x to shift left/right, add to f to shift up/down, multiply f to stretch vertically, and flip a sign to reflect. Master these and one known curve becomes a hundred.
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Replacing f(x) with f(x) + 3 shifts the graph…
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