Determine algebraically whether the graph is symmetric with respect to the \( x \)-axis, the \( y \)-axis, and the origin. \[ x^{2}+2 y^{4}=5 \] A. \( y \)-axis only B. \( x \)-axis only C. Origin only D. \( x \)-axis, \( y \)-axis, origin

Step 1 ：Replace y with -y in equation x^2 + 2y^4 = 5: (x^2 + 2(-y)^4 \text{ unchanged })

Step 2 ：Replace x with -x in equation x^2 + 2y^4 = 5: ((-x)^2 + 2y^4 = 5 \text{ unchanged })

Step 3 ：Replace both x with -x and y with -y in equation x^2 + 2y^4 = 5: ((-x)^2 + 2(-y)^4 = 5 \text{ unchanged })

Step 4 ：Answer: D. \( x \)-axis, \( y \)-axis, origin