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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.
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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.
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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.
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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.
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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.
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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.
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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.
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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.
