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B. The graph of g(x) is the graph of f(x) horizontally stretched by the factor of 3.

Look at the picture.

Translations

y = f (x) + mup m units

y = f (x) - mdown m units

y = f (x + m)left m units

y = f (x - m)right m units

Stretches/Shrinks

y = n · f (x)stretch vertically by a factor of n

y = 1/n · f (x)shrink vertically by a factor of m (stretch by 1/n)

y = f (1/n x)stretch horizonally by a factor of n

y = f (nx)shrink horizontally by a factor of n (stretch by 1/n))

Reflections

y = - f (x)reflect over x-axis (over line y = 0)

y = f (- x)reflect over y-axis (over line x = 0)

x = f (y)reflect over line y = x

step-by-step explanation: