What is the vertex of the absolute value function defined by ƒ (x) = |x + 2| + 4?

Question

Kara Macias

Mathematics

25 March, 13:06

What is the vertex of the absolute value function defined by ƒ (x) = |x + 2| + 4?

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Jenny Molina · Answer 1

That "|x + 2|" indicates that the vertex of the most basic absolute value function, y=|x|, has been shifted 2 units to the left. That "+4" indicates that the vertex has been shifted 4 units up. Thus, the vertex of f (x) = |x+2|+4 is (-2,4).