Sketch the curve with equation $4y^2-16y-x^2=0$, stating the equations of any asymptotes and the c

Question

Sketch the curve with equation $4y^2-16y-x^2=0$, stating the equations of any asymptotes and the coordinates of any turning points and points where the curve crosses the axes.[4]

Accepted Answer

Asymptotes $y=\pm\dfrac{x}{2}+2$; turning points $(0,0)$, $(0,4)$.

2026 CJC Promo Q2

2026 CJC Promo Q2

Solution:

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