Sketch the curve $C$ with equation ${{x}^{2}}-{{\left( y+1 \right)}^{2}}=1$, indicating clearly the

Question

Sketch the curve $C$ with equation ${{x}^{2}}-{{\left( y+1 \right)}^{2}}=1$, indicating clearly the coordinates of any points of intersection with the axes and the equations of any asymptotes. [3] The curve $C$ undergoes a sequence of three transformations as follows: I: A scaling parallel to $x$-axis with a scale factor of $4$, II: A scaling parallel to $y$-axis with a scale factor of $\frac{1}{2}$, III: A translation of $2$ units in the positive $y$-direction. Find the equation of the resulting curve. [3]

Accepted Answer

$\left(\dfrac{x}{4}\right)^{2} - (2y-3)^2 = 1$

2023 MI PRU1 P1 Q3

2023 MI PRU1 P1 Q3

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