What transformation occurs when g(x) = f(x) + 4 is applied to a function f(x)?

• Shifts the graph of f(x) 4 units to the right.

• Shifts the graph of f(x) 4 units to the left.

• Shifts the graph of f(x) 4 units up.

• Shifts the graph of f(x) 4 units down.

How does the graph of g(x) = f(x + 4) relate to the graph of f(x)?

• It is shifted 4 units up.

• It is shifted 4 units down.

• It is shifted 4 units to the right.

• It is shifted 4 units to the left.

What transformation occurs when g(x) = -f(x) is applied to a function f(x)?

• A reflection over the y-axis.

• A reflection over the x-axis.

• A shift up by one unit.

• A shift down by one unit.

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Given f(x) = x^2 - 3x + 2, and g(x) = f(x) + 4, what is the expression for g(x)?

• g(x) = x^2 - 3x + 6

• g(x) = x^2 - 3x + 4

• g(x) = x^2 - 3x - 2

• g(x) = x^2 - 3x + 2

Given the table of values for f(x) and g(x) = f(x - 2) + 1, what is the value of g(4)?

• 0

• 1

• 8

• 14