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Here are some graphs - Edexcel - GCSE Maths - Question 14 - 2017 - Paper 2

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Question 14

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Here are some graphs. In the table below, match each equation with the letter of its graph. | Equation | Graph | |----------------------|-------| | $y ... show full transcript

Worked Solution & Example Answer:Here are some graphs - Edexcel - GCSE Maths - Question 14 - 2017 - Paper 2

Step 1

$y = \sin x$

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Answer

The graph of y=sinxy = \sin x is periodic and oscillates between -1 and 1. From the options provided, this corresponds to graph B.

Step 2

$y = x^2 + 4x$

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Answer

The equation y=x2+4xy = x^2 + 4x represents a quadratic function that opens upwards. Its graph will have a parabola shape. This matches graph C.

Step 3

$y = \frac{4}{x}$

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Answer

The function y=4xy = \frac{4}{x} is a rational function that features two hyperbolic branches, located in the first and third quadrants. This is represented by graph G.

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