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 }}}

Algebra ->  Functions -> 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 }}}       Log On


   

Question 1051882: Please help me on this. Thank you.
Determine if there is any symmetry: y-axis symmetry and origin symmetry
+f%28x%29+=+-%28x%2B1%29%28x-3%29%5E2+
Answer by solver91311(24713) About Me  (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