Sketching Quadratic Graphs (B) WORKSHEET
Suitable for Year groups: Year 10, Year 11
GCSE Tier: Higher Plus
Targeting grades: 8-9
Prerequisite knowledge: Solving quadratic equations to find x-intercepts. Substituting x=0 to find the y-intercept. Understanding the general U-shape of parabolas.Converting between standard, factorised, and completed-square forms of the quadratic equation. Turning points.
Learning Objective: Identify and interpret roots, intercepts and turning points of quadratic functions graphically. Sketch and interpret graphs of quadratic functions.
Sketching Quadratic Graphs (B) WORKSHEET DESCRIPTION
Guide your learners through all the key steps needed to produce accurate sketches of quadratic graphs with this worksheet.
Each question leads pupils to identify the y-intercept, factorise to find the roots, complete the square to locate the turning point, and then combine all this information into a labelled sketch.
The worksheet includes a variety of quadratics with different leading coefficients and signs, giving experience of upward- and downward-facing parabolas as well as examples with repeated roots.
The final challenge asks students to work backwards, using a labelled sketch to identify as much as they can about the equation of the graph.
This structured approach ensures students can connect algebraic forms to graphical features and practise presenting neat, informative sketches.
Each question leads pupils to identify the y-intercept, factorise to find the roots, complete the square to locate the turning point, and then combine all this information into a labelled sketch.
The worksheet includes a variety of quadratics with different leading coefficients and signs, giving experience of upward- and downward-facing parabolas as well as examples with repeated roots.
The final challenge asks students to work backwards, using a labelled sketch to identify as much as they can about the equation of the graph.
This structured approach ensures students can connect algebraic forms to graphical features and practise presenting neat, informative sketches.
All worksheets are created by the team of experienced teachers at Cazoom Maths.
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Frequently Asked Questions
Identify and interpret roots, intercepts and turning points of quadratic functions graphically. Sketch and interpret graphs of quadratic functions.