Testing for Symmetry...2

[nycmathguy]

Question 36

y = x^4 - x^2 + 3

Let y = -y

-y = x^4 - x^2 + 3

Not symmetric with respect to the x-axis.

Let x = -x

y = (-x)^4 - (-x)^2 + 3

y = x^4 - x^2 + 3

Symmetric with respect to the y-axis.

Let y = -y and x = -x

-y = (-x)^4 - (-x)^2 + 3

-y = x^4 - x^2 + 3

Not symmetric with respect to the origin.

 

[MathLover1]

correct

 

[nycmathguy]

correct

Thanks. Check your PM.