The absolute value function g (x) = |x + 7| - 4 is translated 5 units right and 2 units up to become g′ (x). The quadratic function f (x), graphed below, is also moved 5 units right and 2 units up to become f′ (x). Which of these two transformed functions has a range of y ≤ - 2 and what is the vertex of this transformed function?
g′ (x) has a range of y ≤ - 2 and its vertex is at (-2, - 2).
g′ (x) has a range of y ≤ - 2 and its vertex is at (2, - 2).
f′ (x) has a range of y ≤ - 2 and its vertex is at (3, - 2).
f′ (x) has a range of y ≤ - 2 and its vertex is at (-7, - 6).
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