Transformations of Graphs | Edexcel GCSE Maths Topic Questions 2022

1

2 marks

q1-easy-2-23-transformation-of-graphs-edexcel-gcse-maths

The curve with equation $y = f (x)$ is translated so that the point at (0, 0) is mapped onto the point (4, 0).

Find an equation of the translated curve.

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1a

2 marks

The graph of $y = f (x)$ is shown on each of the grids.

On this grid, sketch the graph of $y = f (x - 3)$

q1a-hard-2-23-transformation-of-graphs-edexcel-gcse-maths

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1b

2 marks

On this grid, sketch the graph of $y = f (- x) + 2$

q1b-hard-2-23-transformation-of-graphs-edexcel-gcse-maths

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1a

3 marks

q1a-medium-2-23-transformation-of-graphs-edexcel-gcse-maths

The diagram shows part of the curve with equation $y = f (x)$ .
The coordinates of the maximum point of the curve are (3, 5).

Write down the coordinates of the maximum point of the curve with equation

i)

y = f (x + 3)

[1]

ii)

y = - f (x)

[1]

iii)

y = f (- x)

[1]

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1b

1 mark

The curve with equation $y = f (x)$ is transformed to give the curve with equation $y = f (x) - 4$

Describe the transformation.

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$y = x^{2} - 5 x - 2$	$y = - x^{2} + 5 x + 2$
$y = - x^{2} + 5 x - 2$	$y = x^{2} + 5 x + 2$