2017 MI Promo Q2

2017 MI Promo Q2

4 marks
Promo

The curve \(C\) has \(\frac{{{\left( x+1 \right)}^{2}}}{9}+\frac{{{\left( y-2 \right)}^{2}}}{4}=1\). Sketch \(C\), stating the equations of any axes of symmetry, exact coordinates of any points of intersection with the axes, and the equations of any asymptotes.[4]

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Answer:\(y = 2 \pm \frac{4\sqrt{2}}{3}\)

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