Question 163935
Determine whether the graph of y=|4x| is symmetric with respect to the x-axis, the y-axis, or the origin.
--------------
f(x) = |4x|
f(-x) = |-4x|= |-1|*|4x| = |4x|
-f(-x) = -|4x|
-f(x) = -|4x|
--------------------
Since f(x)=f(-x) you have symmetry wrt the y-axis.
Since f(x) is not equal to -f(-x) you do not have origin symmetry.
f(x) and -f(x) are two different functions; no x-axis symmetry.
=======================
Cheers,
Stan H.