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What is the vertex of the equation y equals absolute value x plus three?
Wiki User
∙ 15y ago
What you wrote can be interpreted two different ways.
y = abs(x+3) or
y = abs(x) + 3
First: y= abs(x+3)
So what abs does is it makes any negative number inside the ( ) into a positive one.
The vertex of the graph is the point where the slope changes from being negative to positive. For absolute value, the vertex is the point where the argument goes from negative to positive.
for y=abs(x+3):
if x = -2; y = 1
if x = -3; y = 0
if x = -4; y = 1
So we can see that there is symmetry around (-3, 0). This would be the vertex.
for y=abs(x) + 3
if x = 1; y = 4
if x = 0; y = 3
if x = -1; y = 4
There is symmetry around the point (0,3), so this is the vertex.
Wiki User
∙ 15y ago
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