The curve $C$ has equation ${{x}^{2}}-4{{y}^{2}}=4$. Sketch $C$, stating the equations of any asympt

Question

The curve $C$ has equation ${{x}^{2}}-4{{y}^{2}}=4$. Sketch $C$, stating the equations of any asymptotes and the coordinates of any points of intersection with the axes. [3] Describe a pair of transformations which transforms the graph of $C$ onto the graph of ${{\left( x-2 \right)}^{2}}-{{y}^{2}}=4$. [2]

Accepted Answer

I: Translation of 2 units in positive $x$ direction; II: Scaling factor 2 parallel to $y$-axis

2023 VJC Promo Q5

2023 VJC Promo Q5

Video Solution:

Solution:

Solution locked