# Transcribed Image Text: PROVE: Shifting, Shrinking, and Stretching Graphs of Functions Let f(x) = x². Show that f(2x) = 4f(x), and explain how this shows

Transcribed Image Text: PROVE: Shifting, Shrinking, and Stretching Graphs of
Functions Let f(x) = x². Show that f(2x) = 4f(x), and
explain how this shows that shrinking the graph of f horizon-
tally has the same effect as stretching it vertically. Then use
the identities e2+* = e²e* and In(2x) = In 2 + In x to show
that for g(x) = e a horizontal shift is the same as a vertical
stretch and for h(x) = In x a horizontal shrinking is the same
%3D
as a vertical shift.

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