AQA · Mathematics · 8300
GCSE Maths: Types of graph: reciprocal
Algebra · AQA GCSE Maths (8300). Cards are generated from the Corbettmaths practice questions for Types of graph: reciprocal (Corbettmaths Video 346), and every card links back to the exact page it came from. Practice tests are drawn from this deck’s own cards. Source material © Corbettmaths — used with attribution.
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What is the general form of a reciprocal function?
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y = k/x, where k is a constant.
What happens to a reciprocal graph y = k/x at x = 0?
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The graph has a vertical asymptote (is undefined) at x = 0.
For the point (6, 1) on the graph y = k/x, what is the value of k?
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k = 6, because 1 = k/6, so k = 6.
Does the point (−2, 4) lie on the graph y = 8/x?
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No. When x = −2, y = 8/(−2) = −4, not 4.
In which two quadrants does the graph of y = k/x lie when k is positive?
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The first and third quadrants (both coordinates positive, or both negative).
The graph y = 1/x + 1 is a ? of y = 1/x.
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vertical translation
By how many units is y = 1/x + 1 shifted vertically compared to y = 1/x?
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1 unit upward.
In the equation t = 80/s, what does the reciprocal relationship model?
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The inverse relationship between speed and time for a fixed distance (80 km).
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