SOLUTION: Please help me on this. Thank you.
Determine if there is any symmetry: y-axis symmetry and origin symmetry
{{{ f(x) = -(x+1)(x-3)^2 }}}
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Question 1051882: Please help me on this. Thank you.
Determine if there is any symmetry: y-axis symmetry and origin symmetry
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
A function has symmetry about the 
-axis if the point )
is on the graph whenever the point )
is on the graph.
A function has symmetry about the origin if the point )
is on the graph whenever the point is on the graph.
With the exception of the constant function 
, a relation that has symmetry about the 
-axis is not a function.
So, substitute )
for )
. If you have an equivalent function, then you have symmetry about the -axis. Otherwise not.
Substitute for and 
for . If the result is an equivalent function, then you have symmetry about the origin. Otherwise, not.
Note: Most functions are not symmetrical about anything.
John
My calculator said it, I believe it, that settles it
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