Quadratic Graphs (AQA GCSE Maths): Flashcards

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Quadratic graphs
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General form of quadratic equation

y=ax2+bx+cy = ax^2 + bx + c where a≠0a \neq 0

Name of U-shaped curve from quadratic graph

Parabola

Direction parabola opens when x2x^2 coefficient is positive

Upward (U-shape)

Direction parabola opens when x2x^2 coefficient is negative

Downward (∩-shape)

How to find x-intercepts of quadratic

Set y=0y = 0 and solve for xx

Location of turning point on parabola

Halfway between the two x-intercepts

Formula for line of symmetry of y=ax2+bx+cy = ax^2 + bx + c

x=−b2ax = -\frac{b}{2a}

Type of symmetry in parabolas

Vertical line through turning point

How to join points when drawing quadratic graph

Smooth curve, no sharp corners or spikes

Effect of larger |a| on parabola shape

Steeper and narrower

Explore AQA GCSE Maths Revision Notes by Topics

Straight Lines and Gradients

y = mx + c

Drawing Straight Line Graphs

Coordinates and Ratio

Parallel and Perpendicular Lines

Quadratic Graphs

Harder Graphs

Solving Equations Using Graphs

Graph Transformations

Real-Life Graphs

Distance-Time Graphs

Velocity-Time Graphs

Gradients of Real-Life Graphs

Show more

Graph Transformations

Real-Life Graphs

Distance-Time Graphs

Velocity-Time Graphs

Gradients of Real-Life Graphs

Explore AQA GCSE Maths Model Answers by Topics

Straight Lines and Gradients

y = mx + c

Drawing Straight Line Graphs

Coordinates and Ratio

Parallel and Perpendicular Lines

Quadratic Graphs

Harder Graphs

Solving Equations Using Graphs

Graph Transformations

Real-Life Graphs

Distance-Time Graphs

Velocity-Time Graphs

Gradients of Real-Life Graphs

Show more

Graph Transformations

Real-Life Graphs

Distance-Time Graphs

Velocity-Time Graphs

Gradients of Real-Life Graphs

Explore AQA GCSE Maths Quizzes by Topics

Straight Lines and Gradients

y = mx + c

Drawing Straight Line Graphs

Coordinates and Ratio

Parallel and Perpendicular Lines

Quadratic Graphs

Harder Graphs

Solving Equations Using Graphs

Graph Transformations

Real-Life Graphs

Distance-Time Graphs

Velocity-Time Graphs

Gradients of Real-Life Graphs

Show more

Graph Transformations

Real-Life Graphs

Distance-Time Graphs

Velocity-Time Graphs

Gradients of Real-Life Graphs

Explore AQA GCSE Maths Exam Questions by Topics

Straight Lines and Gradients

y = mx + c

Drawing Straight Line Graphs

Coordinates and Ratio

Parallel and Perpendicular Lines

Quadratic Graphs

Harder Graphs

Solving Equations Using Graphs

Graph Transformations

Real-Life Graphs

Distance-Time Graphs

Velocity-Time Graphs

Gradients of Real-Life Graphs

Show more

Graph Transformations

Real-Life Graphs

Distance-Time Graphs

Velocity-Time Graphs

Gradients of Real-Life Graphs

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