Sketch the graph of ${{y}^{2}}-{{\left( x-3 \right)}^{2}}=1$, labelling all essential features.[3]

Question

Sketch the graph of ${{y}^{2}}-{{\left( x-3 \right)}^{2}}=1$, labelling all essential features.[3] Find the set of values of $m$ such that the line $y=m\left( x-3 \right)$ does not intersect the graph in part (a).[2] Describe a sequence of transformations that would transform the graph in part (a) onto the graph of ${{y}^{2}}-4{{\left( 2x-5 \right)}^{2}}=4$.[3]

Accepted Answer

(b) $m=\left\{ m\in \mathbb{R}:-1\le m\le 1 \right\}$

2022 EJC Promo Q5

2022 EJC Promo Q5

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