Answer
False
Work Step by Step
Standard form of a horizontal parabola is $x=a(y-k)^2+h$ and
Standard form of a vertical parabola is $y=a(x-h)^2+k$
Here, vertex:$(h,k) or (k,h) $
when the variable $x$ is squared and the coefficient positive it defines upwards open parabola and variable $x$ is squared and the coefficient is negative it defines downward open parabola.
Also, when the variable $y$ is squared and the coefficient positive it defines at open to the right parabola and variable $y$ is squared and the coefficient is negative it defines at open to the left parabola.
Hence, the given equation shows a linear equation and the statement is false.