AQA · Mathematics · 8300
GCSE Maths: Proportion: Graphs
Ratio & Proportion · AQA GCSE Maths (8300). Cards are generated from the Corbettmaths practice questions for Proportion: Graphs (Corbettmaths Video 255), and every card links back to the exact page it came from. Practice tests generate fresh variations of these questions, so the numbers change every attempt. Source material © Corbettmaths — used with attribution.
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What does the graph of y directly proportional to x look like?
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A straight line passing through the origin.
What does the graph of y inversely proportional to x look like?
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A curve (hyperbola) that never touches the axes.
What does the graph of y directly proportional to x² look like?
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A parabola (U-shaped curve) passing through the origin.
What does the graph of y directly proportional to √x look like?
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A curve that starts at the origin and increases at a decreasing rate (square root curve).
When the value of x is doubled in an inverse proportion relationship, what happens to the value of y?
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The value of y is halved.
When the value of x is doubled in a relationship where y is directly proportional to x², how many times larger does y become?
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4 times larger (since 2² = 4).
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