The curve $C$ has equation $y = \frac{(x-k)^2}{x+2}$, where $k$ is a positive constant. F

Question

The curve $C$ has equation $y = \frac{(x-k)^2}{x+2}$, where $k$ is a positive constant. Find the equations of the asymptotes of $C$.[3] Use a non-graphical method to find the set of values of $y$ for which there are no points on $C$.[3]

Accepted Answer

(i) $x=-2$, $y=x-2k-2$ (ii) $\{y\in\mathbb R:-4k-8<y<0\}$

Graphing Techniques - Finding Possible y-values of a Curve

Graphing Techniques - Finding Possible y-values of a Curve

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