we need to solve this graphically first and then test for x-axis symmentry
to test for x-axis symmentry, replace y with (-y) and simplify the equation.
if the equation is equivalent to the original equation, then the graph is symmentrical to x-axis
[tex]-\frac{2}{x}=y+2_{}[/tex]
now let's test for (-y) and compare
[tex]-\frac{2}{x}=-y+2[/tex]
since the resulting equation is not similar to the original equation, the equation is not symmentrical to the x-axis.
now let's test y axis
replace x with (-x)
[tex]\begin{gathered} -\frac{2}{x}=y+2 \\ -\frac{2}{(-x)}=y+2 \\ \frac{2}{x}=y+2 \end{gathered}[/tex]
the equation is not symmentrical to the y-axis
from the calculation above, the equation is not symmentrical to both x and y axis.
