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Original Question
What is the vertex of the graph of y = |–x + 4| + 1?Asked by Zachary
What is the vertex of the graph of y = |x + 3|?
Answers
Answered by
Angel
I went to freemathhelp and this is what I got:
*Not a conic section.
*Not a conic section.
Answered by
Steve
That is correct, but that doesn't mean there's no vertex.
Absolute value graphs usually have a V-shape, because |N| is always positive. So, if you have a line sloping down to the x-axis, when it reaches y=0, it reflects back up, so that it always stays with y>=0.
So, |x+3| = x+3 if x+3 >= 0
But |x+3| = -x-3 is x+3 < 0
So, where x = -3, the graph has a point, or vertex. Go back online and find a graphing tool. Or, check out some example graphs of absolute value functions.
Absolute value graphs usually have a V-shape, because |N| is always positive. So, if you have a line sloping down to the x-axis, when it reaches y=0, it reflects back up, so that it always stays with y>=0.
So, |x+3| = x+3 if x+3 >= 0
But |x+3| = -x-3 is x+3 < 0
So, where x = -3, the graph has a point, or vertex. Go back online and find a graphing tool. Or, check out some example graphs of absolute value functions.
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