You are not currently logged in. Please create an account or log in to view the full course.

# Graphing Quadratic Functions – A11

• Transcript
• Cite

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

In this course, Professor Keith Ball (University of Warwick) continues exploring graphs, covering Topics A11-A13 in the Pearson Edexcel GCSE (9-1) Mathematics (1MA1) Specification for Higher 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 look at graphs where there are two roots, one root, or zero roots (Topic A11). In the third mini-lecture, we explore turning points of quadratic functions, specifically how to determine the turning point by completing the square and how the sign of the x2 term affects whether the turning point is a minimum or maximum (Topic A11). In the fourth mini-lecture, we consider the graphs of cubic functions and look at cubic graphs with three roots, two roots, or one root (Topic A12). In the fifth mini-lecture, we explore the graph of the reciprocal function (Topic A12) before turning towards exponential graphs in the sixth mini-lecture (Topic A12). In the seventh mini-lecture, we consider trigonometric graphs, including the graphs of sine, cosine, and tangent (Topic A12). In the eighth mini-lecture, we discuss translations and reflections of graphs (Topic A13).

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): Higher Tier - Graphing Quadratic Functions – A11 [Video]. MASSOLIT. https://massolit.io/courses/graphs-ii-pearson-edexcel-gcse-9-1-mathematics-higher-tier

MLA style

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

Lecturer

Warwick University