The diagram shows a sketch of the curve f(x). The curve has a horizontal asymptote with equation

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The diagram shows a sketch of the curve f(x). The curve has a horizontal asymptote with equation y = 1 and a vertical asymptote with equation x = 0. On separate diagrams, sketch the graphs of

a) y = f(2x)

b) y = −3f(x)

c) y = 2f(x − 3)

d) y=4 −f(1/2x)

e) y = 3 + 4f(x)

f) y = 4f(−1/2x).
Mark on each sketch the equations of the asymptotes and, if
possible, any points where the curve cuts the axes.

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