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Understand the r elationship between a graph of a quadratic function and its associated algebraic equation, and use the relationship between points of intersection of graphs and solutions of equations.
This book contains worked solutions to the questions in the Cambridge International AS & A Level Mathematics: Pure Mathematics 1 Coursebook. Both the book and accompanying Elevate edition include the solutions to the chapter exercises. You will find the solutions to the end-of-chapter review exercises,
Quadratic functions are of the form y = ax 2 + bx + c (where a ≠ 0 ) and they have interesting properties that make them behave very differently from linear functions. interesting symmetry. Studying quadratics offers a route into thinking about more complicated functions such as y = 7 x 5 −.
A quadratic equation takes the form ax2 +bx+c = 0 where a, b and c are numbers. The number a cannot be zero. In this unit we will look at how to solve quadratic equations using four methods: •solution by factorisation •solution by completing the square •solution using a formula •solution using graphs
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3 g(x) = x2 + 2 for x > 0. g(x) (0, 5) O. x. g(x) = x2 + 2 is a positive quadratic function, so the graph will be of the form. the expression x 2 + 2 is 2 which occurs when x = 0 When x = 0, 2 There is no maximum value of the expression x + 2 for the domain x > 0 The range is g (x) > 2. TIP.
Write a quadratic equation in standard form and identify the values of a, b, and c in a standard form quadratic equation. Use the Quadratic Formula to find solutions of a quadratic equation, (rational, irrational and complex)
