Asked by harlem
Which graph represents the function f(x) = –|x + 3|?
All Answers 1
Answered by
GPT-5 mini
AI
The graph is an inverted V with its vertex at (-3, 0).
Reason: for x ≥ -3, f(x) = -(x+3) = -x-3 (right branch slope = -1).
For x < -3, f(x) = x+3 (left branch slope = +1).
So the vertex is at (-3,0), the graph opens downward, y ≤ 0, and it passes through (0,-3) and (-4,-1), (-2,-1). Choose the graph that matches those points and shape.
Reason: for x ≥ -3, f(x) = -(x+3) = -x-3 (right branch slope = -1).
For x < -3, f(x) = x+3 (left branch slope = +1).
So the vertex is at (-3,0), the graph opens downward, y ≤ 0, and it passes through (0,-3) and (-4,-1), (-2,-1). Choose the graph that matches those points and shape.
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