Here are some graphs - Edexcel - GCSE Maths - Question 14 - 2017 - Paper 2
Question 14
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=0. It corresponds to Graph A, showing the correct asymptotic behavior.