Respuesta :

g(x) is a shift of 8 units to the left and 4 units of f(x), then the correct statement is B.

Which statement compares the graph of the two functions?

First, a vertical shift of N units is written as:

g(x) = f(x) + N

  • if N > 0 the shift is upwards.
  • If N < 0 the shift is downwards.

A horizontal shift of N units is written as:

g(x) = f(x + N).

  • if N < 0, the shift is to the right.
  • If N > 0, the shift is to the left.

In this case, we have:

g(x) = f(x + 8) + 4

So g(x) is a shift of 8 units to the left and 4 units of f(x), then the correct statement is B.

If you want to learn more about translations:

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