SOLUTION: State whether each function given below is symmetric about either axis or the origin. a. y = x² + 3 b. y = x³ - x c. y = √|x| Here's my

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Question 955092: State whether each function given below is symmetric about either axis or the origin.
a. y = x² + 3
b. y = x³ - x
c. y = √|x|
Here's my answer, but I'm not sure about it:
a. symmetric about the y axis
b. symmetric about the origin (not sure)
c. symmetric about both axes and the origin
Answer by macston(5194) About Me  (Show Source):
You can put this solution on YOUR website!
x-axis symmetry:Replace y with -y is equivalent equation.
y-axis symmetry:Replace x with -x is equivalent equation.
Origin: Both x- and y-axis symmetry.
Pictures help
a. y = x² + 3 - y-symmetry
+graph%28+500%2C+500%2C+-10%2C+10%2C+-10%2C+10%2C+x%5E2%2B3%29+
b. y = x³ - x - No x or y symmetry
+graph%28+500%2C+500%2C+-10%2C+10%2C+-10%2C+10%2C+x%5E3-x%29+
c. y = sqrt(|x|) - y-symmetry
+graph%28+500%2C+500%2C+-10%2C+10%2C+-10%2C+10%2C+sqrt%28abs%28x%29%29%29+