The V-shaped graph below shows a transformed absolute-value function, with its vertex marked. Which equation matches the graph?
Ag(x) = |x − 1| − 3
Bg(x) = |x + 1| − 3
Cg(x) = −|x + 1| + 3
Dg(x) = |x + 1| + 3
Explanation
The graph is a V-shape opening upward with its vertex at (−1, −3), matching absolute-value form g(x) = |x − h| + k with h = −1 and k = −3, i.e. g(x) = |x − (−1)| + (−3) = |x + 1| − 3. The V opens upward (not downward, ruling out the reflected choice) and the vertex is at x = −1, not x = 1 or shifted up to y = 3.
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