<ol class="abc-list"><li><div class="list-item-paragraph">Describe a sequence of transformations which transforms the graph of $y=\frac{1}{x}$ on the graph of $y=\frac{2x-1}{1-x}$.<span class="inline-marks">[3]</span></div></li><li><div class="list-item-paragraph">A curve $L$ undergoes the following transformations:</div><div class="list-item-paragraph" style="margin-left: 2.5rem">$ \qquad\qquad\qquad\qquad A$: Translation of $-2$ units in the direction of the $x$-axis,</div><div class="list-item-paragraph" style="margin-left: 2.5rem">$ \qquad\qquad\qquad\qquad B$: scaling parallel to the $y$-axis by a factor of $3$,</div><div class="list-item-paragraph" style="margin-left: 2.5rem">$ \qquad\qquad\qquad\qquad C$: translation of $4$ units in the direction of the $y$-axis.</div><div class="list-item-paragraph">The equation of the resulting curve is $9{{x}^{2}}-4{{y}^{2}}+8y-40=0$.</div><div class="list-item-paragraph">Determine the equation of the curve $L$.<span class="inline-marks">[4]</span></div></li></ol>

Describe a sequence of transformations which transforms the graph of $y=\frac{1}{x}$ on the graph of $y=\frac{2x-1}{1-x}$.

A curve $L$ undergoes the following transformations:

$ \qquad\qquad\qquad\qquad A$: Translation of $-2$ units in the direction of the $x$-axis,

$ \qquad\qquad\qquad\qquad B$: scaling parallel to the $y$-axis by a factor of $3$,

$ \qquad\qquad\qquad\qquad C$: translation of $4$ units in the direction of the $y$-axis.

The equation of the resulting curve is $9{{x}^{2}}-4{{y}^{2}}+8y-40=0$.

$A$: Translation of $-2$ units in the direction of the $x$-axis,

$B$: scaling parallel to the $y$-axis by a factor of $3$,

$C$: translation of $4$ units in the direction of the $y$-axis.

Transformations of Graphs - General

Transformations of Graphs

H2 Math

International Baccalaureate Higher Level Mathematics

2022 NYJC Promo Q3

2022 NYJC Promo Q3

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