Graph the function. Determine the symmetry, if any, of the function.
-$y=-|x|$

A) Symmetric about the $x$-axis
B) Symmetric about the origin
C) Symmetric about the $y$-axis
D) Symmetric about the $y$-axis

Question

Graph the function. Determine the symmetry, if any, of the function.
-$y=-|x|$

A) Symmetric about the $x$-axis 
B) Symmetric about the origin 
C) Symmetric about the $y$-axis 
D) Symmetric about the $y$-axis

Quizplus · Accepted Answer

The function is symmetric about the y-axis, because replacing x with -x in the function gives the same output. Specifically, we have
f(-x) = -|-x| = -|x| = f(x)
This means that the left and right sides of the graph are mirror images of each other with respect to the y-axis.

Graph the Function y=−∣x∣y=-|x|y=−∣x∣ A) Symmetric About The xxx -Axis B) Symmetric About the Origin C) Symmetric

Graph the Function $y=-|x|$ A) Symmetric About The $x$ -Axis

B) Symmetric About the Origin

C) Symmetric