Answer
(a) See graph. (b) $y=x^2$
Work Step by Step
(a) See graph.
(b) Convert the equation into polar coordinates using $ x=r\cdot cos\theta, y=r\cdot sin\theta$, we have $r=tan\theta sec\theta=\frac{sin\theta}{cos^2\theta}=\frac{y}{r}\times\frac{r^2}{x^2}$ thus we have $y=x^2$ which is a parabola.
