(a) $$ y=8 x $$ Symmetry: $$ x $$-axis $$ y $$-axis origin none of the above (b) $$ y=-4-x^{4} $$ Symmetry: $$ x $$-axis $$ y $$-axis origin none of the above

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Step 1: For $$ y = 8x $$, check for symmetry by substituting $$ -x $$ and $$ -y $$.  
Step 2: Substitute $$ -x $$ into the equation: $$ y = 8(-x) $$ gives $$ y = -8x $$, which is not the same as the original.  
Step 3: Substitute $$ -y $$: $$ -y = 8x $$ gives $$ y = -8x $$, which is also not the same.  
Step 4: Since neither substitution results in the original equation, it has no symmetry.

Step 5: For $$ y = -4 - x^4 $$, check for symmetry by substituting $$ -x $$ and $$ -y $$.  
Step 6: Substitute $$ -x $$: $$ y = -4 - (-x)^4 $$ simplifies to $$ y = -4 - x^4 $$, which is the same as the original.  
Step 7: This indicates symmetry about the $$ y $$-axis.  
Step 8: Substitute $$ -y $$: $$ -y = -4 - x^4 $$ gives $$ y = 4 + x^4 $$, which is not the same as the original.  
Step 9: Since the equation is unchanged with $$ -x $$ but changes with $$ -y $$, it has $$ y $$-axis symmetry.(a) none of the above (b) $$ x $$-axis

(a) \( y=8 x \) Symmetry: \( x \)-axis \( y \)-axis origin none of the above (b) \( y=-4-x^{4} \) Symmetry: \( x \)-axis \( y \)-axis origin none of the above

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