Answer
Makes sense
Work Step by Step
a) Standard form of a parabola is $x=a(y-k)^2+h$ and
Here, vertex:$(h,k)$
b) Use standard form of equation of circles; $(x-a)^2+(y-b)^2=r^2$
Here, $r$ defines radius and $(a,b)$ defines center.
c) Standard form of an ellipse is $\dfrac{x^2}{a^2}+\dfrac{y^2}{b^2}=1$
d) Standard form of an hyperbola is $\dfrac{x^2}{a^2}-\dfrac{y^2}{b^2}=1$
In above all standard form of conic sections atleast one of the variable $x$ and $y$ has been squared.
Thus, the statement makes sense.