Answer
A side-ways parabola whose vertex at the origin open towards the right.
Work Step by Step
Conversion of polar coordinates and Cartesian coordinates are as follows:
a)$r^2=x^2+y^2 \implies r=\sqrt {x^2+y^2}$
b) $\tan \theta =\dfrac{y}{x} \implies \theta =\tan^{-1} (\dfrac{y}{x})$
c) $x=r \cos \theta$ d) $y=r \sin \theta$
Here, $r^2 \sin^ 2 \theta=r \cos \theta$
Therefore, our Cartesian equation is $y^2=x$
This shows a side-ways parabola whose vertex at the origin open towards the right.
