2022 EJC Promo Q5
(a)
Sketch the graph of ${{y}^{2}}-{{\left( x-3 \right)}^{2}}=1$, labelling all essential features.
[3]
(b)
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]
(c)
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]
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