Last updated on Sep 21, 2026

Shapes of graphs (OCR GCSE Maths): Flashcards

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Shapes of Graphs

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12 cards from this deck

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Graph shape: positive $x$ term

Straight line sloping upwards

Graph shape: negative $x$ term

Straight line sloping downwards

Graph shape: positive $x^2$ term

U-shaped parabola opening upwards

Graph shape: negative $x^2$ term

Inverted U parabola opening downwards

Graph shape: positive $x^3$ term

S-shaped cubic curve

Graph shape: negative $x^3$ term

Inverted S-shaped cubic curve

Quadrants: positive reciprocal $\frac{1}{x}$

First and third

Quadrants: negative reciprocal $-\frac{1}{x}$

Second and fourth

Asymptotes in reciprocal graphs

$x$ -axis and $y$ -axis (never touched)

Gradient of positive $x$ linear graph

Positive

Gradient of negative $x$ linear graph

Negative

$y$ behavior in positive $x^2$ as $x$ moves away from 0

$y$ increases

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Shapes of graphs (OCR GCSE Maths): Flashcards

Practise the cards

Graph shape: positive xxx term

Graph shape: negative xxx term

Graph shape: positive x2x^2x2 term

Graph shape: negative x2x^2x2 term

Graph shape: positive x3x^3x3 term

Graph shape: negative x3x^3x3 term

Quadrants: positive reciprocal 1x\frac{1}{x}x1​

Quadrants: negative reciprocal −1x-\frac{1}{x}−x1​

Asymptotes in reciprocal graphs

Gradient of positive xxx linear graph

Gradient of negative xxx linear graph

yyy behavior in positive x2x^2x2 as xxx moves away from 0

Explore OCR GCSE Maths Revision Notes by Topics

Rules of algebra

Single brackets

Factorising

Solving equations

Double brackets

More factorising - quadratics

Solving quadratic equations

Simultaneous equations

Inequalities

Indices

Straight line graphs

Quadratic and cubic graphs

Shapes of graphs

Travel graphs and story graphs

Surds

Inequalities

Indices

Straight line graphs

Quadratic and cubic graphs

Shapes of graphs

Travel graphs and story graphs

Surds

Explore OCR GCSE Maths Model Answers by Topics

Rules of algebra

Single brackets

Factorising

Solving equations

Double brackets

More factorising - quadratics

Solving quadratic equations

Simultaneous equations

Inequalities

Indices

Straight line graphs

Quadratic and cubic graphs

Shapes of graphs

Travel graphs and story graphs

Surds

Inequalities

Indices

Straight line graphs

Quadratic and cubic graphs

Shapes of graphs

Travel graphs and story graphs

Surds

Explore OCR GCSE Maths Quizzes by Topics

Rules of algebra

Single brackets

Factorising

Solving equations

Double brackets

More factorising - quadratics

Solving quadratic equations

Simultaneous equations

Inequalities

Indices

Straight line graphs

Quadratic and cubic graphs

Shapes of graphs

Travel graphs and story graphs

Surds

Inequalities

Indices

Straight line graphs

Quadratic and cubic graphs

Graph shape: positive $x$ term

Graph shape: negative $x$ term

Graph shape: positive $x^2$ term

Graph shape: negative $x^2$ term

Graph shape: positive $x^3$ term

Graph shape: negative $x^3$ term

Quadrants: positive reciprocal $\frac{1}{x}$

Quadrants: negative reciprocal $-\frac{1}{x}$

Gradient of positive $x$ linear graph

Gradient of negative $x$ linear graph

$y$ behavior in positive $x^2$ as $x$ moves away from 0