Transformation of graphs

2014 SRJC Promo Q4

2014 SRJC Promo Q4 A curve undergoes, in succession, the following transformations: A: A reflection in the $y$-axisB: A translation of $3$ units in the negative $y$-direction C: A translation

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N2021 P1 Q6

These Ten-Year-Series (TYS) worked solutions with video explanations for 2021 A Level H2 Mathematics Paper 1 Question 6 are suggested by Mr Gan. For any comments or suggestions please contact us

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2018 ACJC P1 Q9

2018 ACJC P1 Q9 (b) The curve $C$ has equation $y=frac{3{{x}^{2}}+9x+7}{x+2}$. (i) By expressing the equation of $C$ in the form $y=3x+a+frac{b}{x+2}$, where $a$ and $b$ are non-zero constants, write

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2022 DHS Promo Q8

2022 DHS Promo Q8 A function $text{f}$ has the equation $text{f}left( x right)=frac{1}{5}{{x}^{5}}+2{{x}^{3}}+10x-25$. (a) Without using a calculator, and by considering $text{f}’left( x right)$, explain why the equation $text{f}left( x

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2022 DHS Promo Q1

2022 DHS Promo Q1 The graph of $y=text{f}left( x right)$ has a maximum turning point at $left( 2,3 right)$ and passes through the origin. The lines $x=-1$ and $y=2$ are

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2022 ASRJC Promo Q8

2022 ASRJC Promo Q8 (b) Describe the sequence of transformations that will transform the graph of $y={{x}^{3}}$ to the graph of $y=1-8{{x}^{3}}$. [3] Suggested Video and handwritten Solutions Continue reading

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2021 ACJC Promo Q4

2021 ACJC Promo Q4 The diagram shows the curve $y=text{f}left( x right)$. There are two vertical asymptotes with equations $x=-2$ and $x=2$ respectively. The curve crosses the $x$-axis at the

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2022 NYJC Promo Q3

2022 NYJC Promo Q3 (a) Describe a sequence of transformations which transforms the graph of $y=frac{1}{x}$ on the graph of $y=frac{2x-1}{1-x}$. [3] (b) A curve $L$ undergoes the following transformations:

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2022 YIJC P2 Q4

2022 YIJC P2 Q4 (a) State a sequence of transformations that will transform the curve with equation $y=ln x$ onto the curve with equation $y=ln {{left( 2x+3 right)}^{3}}$. [3] Suggested

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2022 VJC P1 Q9

2022 VJC P1 Q9 The curve $C$ has equation $frac{1}{3}{{x}^{2}}+{{y}^{2}}-2y=0$. (v) Describe a pair of transformations which transforms the graph of $C$ onto the graph of ${{x}^{2}}+{{y}^{2}}=1$. [2] Suggested Video Solutions

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