Which is the equation of the graph?

Mathematics
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Which is the equation of the graph?

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 a.  y = 1/2|x-3|

 b.  y = - 1/2|x|-3

 c.  y = - 1/2|x-3|

 d.  y = 1/2|x|-3

Apr 29th, 2015

Plug in some of the points of the graph into the equations to see if they are part of the graph. 

Take the vertex (3,0) 

0 = 1/2(3-3) 

0 = 0 This is a true statement, thus (3,0) is a point on the equation y = 1/2(x-3) however this equation has the graph pointed up since all the y values would be positive. The graph we are looking at is pointing down. Thus A is wrong.

B and D both yield false statements when you plug that point into the equation.

Thus we are left with C and it makes sense because that graph will be pointing down like it is in the given graph.

Apr 29th, 2015

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