Question 8 • Mathematics II
The graph of g(x) = |x + 1| - 7 is a V-shape opening upward, with its vertex at x = -1. As x increases toward -1 from the left, the function’s values decrease, so g is decreasing on (-∞, -1). The vertical shift by -7 changes the height of the graph but not where it is decreasing.
AI-written and checked against the verified answer.