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| Question 672886:  Determine whether the graph of y=4x^2+1 is symmetric with respect to the x-axis, y-axis, and/or origin.
 Answer by MathLover1(20850)
      (Show Source): 
You can put this solution on YOUR website!   we need to check if
  , if yes than a function is symmetric with respect to the origin first find
  : 
   
   now
   
   
   so,
  ...a function is not symmetric with respect to the origin 
 
   
 A graph is said to be symmetric about the
  if whenever (  ,  ) is on the graph then so is (  ,  ) as you can see from a graph, there is no point such as
  because the graph is above   see it on a graph
 
   A graph is said to be symmetric about the
  if whenever (  ,  ) is on the graph then so is (  ,  ) 
 (
  ,  ) is (  ,  ), there is (  ,  ) 
   
 so, the graph of
  is symmetric with respect to the   
 
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