The curve $C$ has equation $\frac{1}{3}{{x}^{2}}+{{y}^{2}}-2y=0$. Describe a pair of transformations

Question

The curve $C$ has equation $\frac{1}{3}{{x}^{2}}+{{y}^{2}}-2y=0$. Describe a pair of transformations which transforms the graph of $C$ onto the graph of ${{x}^{2}}+{{y}^{2}}=1$. [2]

Accepted Answer

(v) In order: a scaling parallel to the $x$-axis with scale factor $\frac{1}{\sqrt3}$, then a translation by $\begin{pmatrix}0\-1\end{pmatrix}$.

2022 VJC P1 Q9

2022 VJC P1 Q9

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