Answer
Symmetry with respect to :
x-axis = no
y-axis = yes
origin = no
Work Step by Step
Equation : $y=x^4-x^2+3$
Put -y instead of y, $-y=x^4-x^2+3$ (not symmetric wrt. x axis)
Put -x instead of x, $y=(-x)^4-(-x)^2+3=x^4-x^2+3$ same as $y=x^4-x^2+3$ (symmetric wrt. y axis)
Put -y instead of y and -x instead of x, $-y=(-x)^4-(-x)^2+3=x^4-x^2+3$ (not symmetric wrt. origin)
