6.5 Quadratic Graphs: Parabolas, Roots and Turning Points

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Graphs that curve! Draw and sketch quadratic graphs (parabolas), and find their roots, line of symmetry, turning point and y-intercept, from the graph and by completing the square. You will learn: • The parabola: U shape for positive x², n shape for negative x² • Drawing a quadratic graph from a table of values with a smooth curve • Key features: roots, line of symmetry, turning point, y-intercept • Finding the turning point by completing the square • A maximum turning point: the height of a thrown ball • Sketching a quadratic in four steps • Practice questions with full answers This is lesson 5 of 7 in Chapter 6: Graphs 6.1 Line segments 6.2 Straight-line graphs 6.3 Parallel and perpendicular lines 6.4 Travel graphs 6.5 Quadratic graphs (this lesson) 6.6 Gradient of a curve 6.7 Graphical solutions of equations © 2026 teachly.lk. All rights reserved. This lesson and its animations are original teachly.lk content. Please do not copy, download, re-upload or share it outside teachly.lk without permission. teachly.lk is an independent learning resource and is not affiliated with Cambridge Assessment International Education.

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