Question

Find the asymptotes parallel to the coordinate axes

y^2-a^2(x-a)=0

Answer 1

Highest power of $x$ is $x.$ Coefficient of $x$ is $-a^2$

There is no asymptote parallel to $x$ -axis.

Highest power of $y$ is $y^2.$ Coefficient of $y^2$ is $1.$

There is no asymptote parallel to $y$ -axis.