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Fun GCSE Quadratic Graph Practice: Find Roots and Complete Tables!

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Fun GCSE Quadratic Graph Practice: Find Roots and Complete Tables!
user profile picture

Samuel Beattie

@amueleattie_tfdguntm

·

2 Followers

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This comprehensive guide focuses on GCSE quadratic graph practice problems, offering detailed exercises for understanding and solving quadratic equations graphically.

Key aspects covered:

  • Graph interpretation and turning point identification
  • Find roots using quadratic graphs GCSE through visual analysis
  • Complete quadratic graph tables GCSE with systematic value plotting
  • Solutions for various quadratic equations using graphical methods
  • Practice with different quadratic function forms including positive and negative coefficients

10/11/2023

104

Name: Instructions ● ● - there may be more space than you need. • Diagrams are NOT accurately drawn, unless otherwise indicated. ● You must

View

Page 2: First Quadratic Graph Exercise

This page presents a graph of y=x² - 2x - 3 with questions about its turning point and roots.

Example: The graph shows a U-shaped curve crossing the x-axis at two points, representing the roots of the equation.

Vocabulary: Turning point - the lowest or highest point on a quadratic graph where the curve changes direction.

Name: Instructions ● ● - there may be more space than you need. • Diagrams are NOT accurately drawn, unless otherwise indicated. ● You must

View

Page 3: Second Quadratic Graph Exercise

The page features a graph of y=2x + 6-x² with questions about turning point and roots.

Highlight: This quadratic has a negative x² term, resulting in an inverted U-shape.

Definition: Roots are the x-coordinates where the graph crosses the x-axis, making y=0.

Name: Instructions ● ● - there may be more space than you need. • Diagrams are NOT accurately drawn, unless otherwise indicated. ● You must

View

Page 4: Third Quadratic Graph Exercise

This section shows the graph of y=x² + 2x - 5 with questions about turning point and roots.

Example: The graph demonstrates how the coefficient of x² affects the steepness of the curve.

Vocabulary: Coefficient - the number that multiplies a variable in an algebraic expression.

Name: Instructions ● ● - there may be more space than you need. • Diagrams are NOT accurately drawn, unless otherwise indicated. ● You must

View

Page 5: Table Completion Exercise

The page presents a table completion exercise for y=x²+x-6 with corresponding graphing tasks.

Highlight: Students must complete the table systematically before plotting points.

Definition: A table of values shows corresponding x and y coordinates used to plot the graph.

Name: Instructions ● ● - there may be more space than you need. • Diagrams are NOT accurately drawn, unless otherwise indicated. ● You must

View

Page 6: Advanced Quadratic Graph Exercise

Features a more complex exercise with y=x² – 3x – 1, including table completion and turning point identification.

Example: The turning point can be estimated by finding the vertex of the parabola.

Vocabulary: Vertex - another term for the turning point of a quadratic graph.

Name: Instructions ● ● - there may be more space than you need. • Diagrams are NOT accurately drawn, unless otherwise indicated. ● You must

View

Page 7: Quadratic Equation Practice

Contains exercises for y=x²-2x-5 with emphasis on finding solutions graphically.

Highlight: The graph demonstrates how to find solutions where two equations intersect.

Definition: Solutions are the x-values where two equations are equal.

Name: Instructions ● ● - there may be more space than you need. • Diagrams are NOT accurately drawn, unless otherwise indicated. ● You must

View

Page 8: Final Complex Exercise

Presents the most challenging exercise with y=7x-x², including multiple parts and solution finding.

Example: This quadratic form shows how the coefficient of x affects the shape and position of the curve.

Highlight: The exercise combines all previously learned concepts into one comprehensive problem.

Name: Instructions ● ● - there may be more space than you need. • Diagrams are NOT accurately drawn, unless otherwise indicated. ● You must

View

Page 1: Introduction and Instructions

The page outlines essential examination guidelines for GCSE mathematics, specifically focusing on quadratic graphs. Students are instructed to use black ink or ball-point pen and show all working.

Highlight: All working must be clearly shown to receive full marks.

Definition: A quadratic graph is a visual representation of a quadratic equation, typically forming a parabola shape.

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Subjects

/

Maths

/

Algebra

/

Straight line graphs

Fun GCSE Quadratic Graph Practice: Find Roots and Complete Tables!

user profile picture

Samuel Beattie

@amueleattie_tfdguntm

·

2 Followers

Follow

This comprehensive guide focuses on GCSE quadratic graph practice problems, offering detailed exercises for understanding and solving quadratic equations graphically.

Key aspects covered:

  • Graph interpretation and turning point identification
  • Find roots using quadratic graphs GCSE through visual analysis
  • Complete quadratic graph tables GCSE with systematic value plotting
  • Solutions for various quadratic equations using graphical methods
  • Practice with different quadratic function forms including positive and negative coefficients

10/11/2023

104

 

11

 

Maths

2

Name: Instructions ● ● - there may be more space than you need. • Diagrams are NOT accurately drawn, unless otherwise indicated. ● You must

Page 2: First Quadratic Graph Exercise

This page presents a graph of y=x² - 2x - 3 with questions about its turning point and roots.

Example: The graph shows a U-shaped curve crossing the x-axis at two points, representing the roots of the equation.

Vocabulary: Turning point - the lowest or highest point on a quadratic graph where the curve changes direction.

Name: Instructions ● ● - there may be more space than you need. • Diagrams are NOT accurately drawn, unless otherwise indicated. ● You must

Page 3: Second Quadratic Graph Exercise

The page features a graph of y=2x + 6-x² with questions about turning point and roots.

Highlight: This quadratic has a negative x² term, resulting in an inverted U-shape.

Definition: Roots are the x-coordinates where the graph crosses the x-axis, making y=0.

Name: Instructions ● ● - there may be more space than you need. • Diagrams are NOT accurately drawn, unless otherwise indicated. ● You must

Page 4: Third Quadratic Graph Exercise

This section shows the graph of y=x² + 2x - 5 with questions about turning point and roots.

Example: The graph demonstrates how the coefficient of x² affects the steepness of the curve.

Vocabulary: Coefficient - the number that multiplies a variable in an algebraic expression.

Name: Instructions ● ● - there may be more space than you need. • Diagrams are NOT accurately drawn, unless otherwise indicated. ● You must

Page 5: Table Completion Exercise

The page presents a table completion exercise for y=x²+x-6 with corresponding graphing tasks.

Highlight: Students must complete the table systematically before plotting points.

Definition: A table of values shows corresponding x and y coordinates used to plot the graph.

Name: Instructions ● ● - there may be more space than you need. • Diagrams are NOT accurately drawn, unless otherwise indicated. ● You must

Page 6: Advanced Quadratic Graph Exercise

Features a more complex exercise with y=x² – 3x – 1, including table completion and turning point identification.

Example: The turning point can be estimated by finding the vertex of the parabola.

Vocabulary: Vertex - another term for the turning point of a quadratic graph.

Name: Instructions ● ● - there may be more space than you need. • Diagrams are NOT accurately drawn, unless otherwise indicated. ● You must

Page 7: Quadratic Equation Practice

Contains exercises for y=x²-2x-5 with emphasis on finding solutions graphically.

Highlight: The graph demonstrates how to find solutions where two equations intersect.

Definition: Solutions are the x-values where two equations are equal.

Name: Instructions ● ● - there may be more space than you need. • Diagrams are NOT accurately drawn, unless otherwise indicated. ● You must

Page 8: Final Complex Exercise

Presents the most challenging exercise with y=7x-x², including multiple parts and solution finding.

Example: This quadratic form shows how the coefficient of x affects the shape and position of the curve.

Highlight: The exercise combines all previously learned concepts into one comprehensive problem.

Name: Instructions ● ● - there may be more space than you need. • Diagrams are NOT accurately drawn, unless otherwise indicated. ● You must

Page 1: Introduction and Instructions

The page outlines essential examination guidelines for GCSE mathematics, specifically focusing on quadratic graphs. Students are instructed to use black ink or ball-point pen and show all working.

Highlight: All working must be clearly shown to receive full marks.

Definition: A quadratic graph is a visual representation of a quadratic equation, typically forming a parabola shape.

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Can't find what you're looking for? Explore other subjects.

Knowunity is the #1 education app in five European countries

Knowunity has been named a featured story on Apple and has regularly topped the app store charts in the education category in Germany, Italy, Poland, Switzerland, and the United Kingdom. Join Knowunity today and help millions of students around the world.

Ranked #1 Education App

Download in

Google Play

Download in

App Store

Knowunity is the #1 education app in five European countries

4.9+

Average app rating

15 M

Pupils love Knowunity

#1

In education app charts in 12 countries

950 K+

Students have uploaded notes

Still not convinced? See what other students are saying...

iOS User

I love this app so much, I also use it daily. I recommend Knowunity to everyone!!! I went from a D to an A with it :D

Philip, iOS User

The app is very simple and well designed. So far I have always found everything I was looking for :D

Lena, iOS user

I love this app ❤️ I actually use it every time I study.