Last updated on Sep 21, 2026

Shapes of graphs (OCR GCSE Maths): Quizzes

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Shapes of Graphs

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What is the shape of a graph where the highest power of $x$ is $1$ and the $x$ term is positive?

Straight line sloping upwards

What happens to $y$ as $x$ increases in a graph with a negative $x$ term (e.g., $y = -5x + 3$ )?

$y$ decreases

What shape does a graph with positive $x^2$ as the highest power produce?

Parabola opening upwards

What happens to $y$ as $x$ moves away from $0$ in the graph $y = -x^2$ ?

$y$ decreases

Which shape describes a graph with positive $x^3$ as the highest power?

S-shaped curve

How is the shape of $y = -x^3$ described?

Inverted S-shaped curve

In which quadrants does a positive reciprocal graph like $y = \frac{1}{x}$ exist?

First and third

In which quadrants does a negative reciprocal graph like $y = -\frac{1}{x}$ exist?

Second and fourth

What are the asymptotes in reciprocal graphs?

The $x$ -axis and $y$ -axis

Which equation produces an upward-opening parabola?

$y = x^2 + 5$

What type of graph is produced when the highest power of $x$ is $2$ ?

Parabola

Which equation produces a straight line sloping downwards?

$y = -5x + 3$

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