Problem

Describe the graph of \(y=-|x+1|+4\). Rewrite \(x+1\) as \(x-(-1)\), identify the parent function, vertex and symmetry axis, and explain the horizontal shift, vertical shift, and effect of the negative coefficient.

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It is a downward-opening V with vertex (4, -1) because the numbers in the equation show the graph moves 4 units horizontally and 1 unit vertically, and the negative flips it downward.

It is a downward-opening V with vertex (-1, 4) because y=-|x+1|+4 is in absolute-value vertex form, so x+1 means left 1, up 4, and the negative reflects it across the x-axis.

It is an upward-opening V with vertex (-1, 4) because the graph is shifted left 1 and up 4, and the +4 makes the V open upward.

It is a downward-opening V with vertex (1, 4) because the +1 inside the absolute value gives the x-coordinate directly, and the negative makes the graph open downward.

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Describe the graph of \(y=-|x+1|+4\). Rewrite \(x+1\) as \(x-(-1)\), identify the parent function, vertex and symmetry axis, and explain the horizontal shift, vertical shift, and effect of the negative coefficient.

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