Question 872383
 is the graph of y = |x|-5 symmetric with respect to the origin, the x-axis, or the y-axis?
------
f(x) = |x|-5
---
f(-x) = |-x|-5 = |x|-5
---
-f(-x) = -|-x|-5 = -|x|-5
-----
Origin ? : No because f(x) does not equal -f(-x)
x-axis ? : No because f(x) is a function
y-axis ? : Yes because f(x) = f(-x)
===================
Graph :::
{{{graph(400,400,-10,10,-10,10,abs(x)-5)}}}
----------------------------
Cheers,
Stan H.
--------------------