GCSE · Graphs of functions

Quadratic graphsExam-style questions

Why a quadratic draws a symmetric parabola, what the roots, y-intercept and turning point each are on the picture, and how the graph solves equations by intersection.

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14 questions · GCSE (Higher) level · mark scheme and worked solution on each · no sign-up to try

DifficultyAllLevel 1Level 2Level 3Level 4Level 5
  1. 1
    The diagram shows the graph of y=x2−2x−8y = x^2 - 2x - 8 and the line y=−3y = -3-4-2246-10-55xyUse the diagram to estimate the solutions of the equation x2−2x−8=−3x^2 - 2x - 8 = -3
    Level 5 · 2 marksTry it
  2. 2
    The diagram shows the graph of y=x2−2x−8y = x^2 - 2x - 8 and the line y=xy = x-4-2246-10-55xyUse the graph to estimate the solutions of the equation

    x2−2x−8=xx^2 - 2x - 8 = x

    Give each answer correct to 1 decimal place.
    Level 5 · 3 marksTry it