The curve $C$ has equation $y=\frac{1-2x}{2x+3}$. Express the equation of $C$ in the form \(y=

Question

The curve $C$ has equation $y=\frac{1-2x}{2x+3}$. Express the equation of $C$ in the form $y=a+\frac{b}{2x+3}$, where $a$ and $b$ are constants to be determined.[2] Describe a sequence of three transformations which transforms the graph of $y=\frac{1}{x+3}$ onto the graph of $C$.[3]

Accepted Answer

(i) $a=-1$, $b=4$ (ii) Scale parallel to the $x$-axis by $\dfrac12$, scale parallel to the $y$-axis by $4$, then translate $1$ unit down

2020 CJC Promo Q2

2020 CJC Promo Q2

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