Sketch the graph of $y=\frac{2x-1}{1-x}$, giving the equations of any asymptotes and the coordinates

Question

Sketch the graph of $y=\frac{2x-1}{1-x}$, giving the equations of any asymptotes and the coordinates of any points of intersection with the axes. [2] State a sequence of transformations which transforms the graph of $y=\frac{2x-1}{1-x}$ to the graph of $y=\frac{1}{x}$. [3]

Accepted Answer

HA: $y = -2$, VA: $x = 1$; Transformations: Translate 2 units in +y, reflect in y-axis, translate 1 unit in +x

2018 YJC Promo Q2

2018 YJC Promo Q2

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