SOLUTION: What are the coordinates of the vertex of the graph of f(x)=2|x|+4?

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Question 996593: What are the coordinates of the vertex of the graph of f(x)=2|x|+4?

Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

f%28x%29=2abs%28x%29%2B4
1. Set what's between the absolute value bars = 0
x+=+0
That's the x-coordinate of the vertex.
2. Substitute that in the equation to find the y-coordinate
of the vertex:
f%28x%29=2abs%280%29%2B4
f%28x%29=4 (Shortcut for this step: the y-coordinate of the vertex is
just the number that's added to the absolute value term, in this
case 4, because when you substitute the x-coordinate the
absolute value term will always be 0)
3. The vertex is (0,4)