## Calculus 8th Edition

Published by Cengage

# Chapter 10 - Parametric Equations and Polar Coordinates - Review - Exercises - Page 731: 43

#### Answer

The curve bulges to the right for $c \lt -1$. The curve represents a straight line for $c=-1$. The curve bulges to the left for $-1\lt c \lt 0$. We can observe a cusp for $c=0$. The curve is a loop fo $c \gt 0$. All curves have the vertical asympototes $x=1$.

#### Work Step by Step

The noteworthy points about the curves are following: The curve bulges to the right for $c \lt -1$. The curve represents a straight line for $c=-1$. The curve bulges to the left for $-1\lt c \lt 0$. We can observe a cusp for $c=0$. The curve is a loop fo $c \gt 0$. All curves have the vertical asympototes $x=1$.

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