horizontally shifts the graph of f(x) left by c units.
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[tex]f(x)-k[/tex]vertically shifts the graph of f(x) down by c units.
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[tex]a\cdot f(x)[/tex]vertically stretches the graph of f(x) by a factor of a units.
Therefore:
[tex]g(x)=3(x+4)^3-5[/tex]it is the graph f(x) stretched vertically by a factor of 3, shifted down vertically by 5 units, and shifted horizontally 4 units to the left
