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

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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

This function is periodic and oscillates between -1 and 1. It corresponds to Graph B, which displays a sinusoidal wave with the correct amplitude and period.

Step 2

$y = x^2 + 4x$

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Answer

This is a quadratic function, which opens upwards. It corresponds to Graph C, reflecting the parabolic shape with its vertex located upwards.

Step 3

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

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Answer

This is a hyperbolic function, demonstrating vertical asymptote behavior as it approaches the x-axis and is undefined at x=0x=0. It corresponds to Graph A, showing the correct asymptotic behavior.

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