How do you find the vertex of #y = 4 - |x+2| #?

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How do you find the vertex of #y = 4 - |x+2| #?

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Answer 1 · 2016-10-02T17:41:08

The vertex is (-2, 4)

Explanation:

Set x + 2 equal to 0 and solve for x:

#x = -2#

This means that the absolute value function flips from negative to positive at #x = -2#, therefore, this is the x coordinate of the vertex and the y coordinate is the function evaluated at this x coordinate.

#y = 4 - |-2 + 2|#

#y = 4#

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How do you find the vertex of #y = 4 - |x+2| #?

1 Answer

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