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Graphs and transformations: TJC 2024 Promo Q3

Attempt the question on paper, then open the worked solution to check your method.

Temasek Junior College2024 PromoPromo Q3●○○ Foundational5 marks

What this question tests

Graph transformations.

Question

The diagram below shows the graph of $y=\mathrm{f}(x)$ . The curve intersects the $x$ -axis and $y$ -axis at $A(-4,0)$ and $C(0,11)$ respectively and has a maximum point at $B(-1,13)$ . The lines $y=5$ and $x=-5$ are asymptotes of the curve.

$Temasek Junior College 2024 Promo Q3: question diagram$

Sketch, on separate diagrams, the graphs of

$y=\mathrm{f}'(x)$ , [2]
$y=\dfrac{1}{\mathrm{f}(-x)}$ . [3]

Show full worked solution▾

(a)

$Temasek Junior College 2024 Promo Q3: solution diagram$

(b)

$y=\frac{1}{\mathrm f(-x)}$

$Temasek Junior College 2024 Promo Q3: solution diagram$

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