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# Graphing Quadratic Functions – A11

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Graphs II – Edexcel GCSE (1MA1): Foundation Tier

In this course, Professor Keith Ball (University of Warwick) continues exploring graphs, covering Topics A11-A12 in the Pearson Edexcel GCSE (9-1) Mathematics (1MA1) Specification for Foundation Tier. In the first mini-lecture, we introduce quadratic functions, discuss how the various terms and their coefficients affect the shape of the corresponding graph, and take a look at turning points (Topic A11). In the second mini-lecture, we consider the roots, or solutions, of quadratic equations and consider graphs where there are two roots, one root, or zero roots (Topic A11). In the third mini-lecture, we consider the graphs of cubic functions and look at cubic graphs with three roots, two roots, or one root (Topic A12). Finally, in the fourth mini-lecture, we explore the graph of the reciprocal function (Topic A12).

In this mini-lecture we introduce Topic A11 by discussing quadratic functions, In particular, we focus on: (i) the key characteristic than all quadratic functions have: an x2 term; (ii) a table of values satisfying y = x2 and the corresponding graph; (ii) the parabola, which is the characteristic shape of all quadratic curves; (iii) the turning point and line of symmetry of y = x2; (iv) the graphs of y = x2 – 2x and y =x2 – 2x + 2 in comparison to y =x2; (v) quadratics with negative x2 term and how this affects the turning point; (v) quadratics with coefficients in front of the x2 term; and (vi) a table of values satisfying y = x2 – x + 1 and the corresponding graph.

#### Cite this Lecture

APA style

Ball, K. (2022, August 30). Graphs II – Edexcel GCSE (1MA1): Foundation Tier - Graphing Quadratic Functions – A11 [Video]. MASSOLIT. https://massolit.io/courses/graphs-ii-pearson-edexcel-gcse-9-1-mathematics-foundation-tier

MLA style

Ball, K. "Graphs II – Edexcel GCSE (1MA1): Foundation Tier – Graphing Quadratic Functions – A11." MASSOLIT, uploaded by MASSOLIT, 30 Aug 2022, https://massolit.io/courses/graphs-ii-pearson-edexcel-gcse-9-1-mathematics-foundation-tier

Lecturer

Warwick University