![]() The following video looks at the various formats in which Quadratic Functions may be written as. A quadratic equation is usually given to you specifically for the purpose of solving it. Quadratic formula: A quadratic formula is. ![]() If a is positive then it is a minimum vertex. Quadratic equation: An equation in the standard form ax2 + bx + c 0, where a 0 is called a quadratic equation. The vertex form is useful because we can see the turning point or vertex of the graph.įor example, the turning point or vertex of y = a( x − h) 2 + k Y = a( x − h) 2 + k where a, h and k are real numbers The vertex form of a quadratic equation is The factored form is useful because we can see the x-intercepts (which are also the roots when the function is zero).įor example, the x-intercepts of y = a( x + b)( x + c) are (− b, 0) and (− c, 0) Learn and revise how to solve quadratic equations by factorising, completing the square and using the quadratic formula with Bitesize GCSE Maths Edexcel. Y = a( x + b)( x + c) where a, b and c are real numbers and a is not equal to zero. The factored form of a quadratic equation is Y = ax 2 + bx + c where a, b and c are real numbers and a is not equal to zero. The general form of a quadratic equation is We can write quadratic functions in different ways or forms: ![]() Scroll down the page for more examples and solutions for quadratic equations. There are other ways of solving a quadratic equation instead of using the quadratic formula, such as factoring (direct factoring, grouping, AC method. In elementary algebra, the quadratic formula is a formula that provides the solution (s) to a quadratic equation. The following diagram shows how to use the vertex formula to convert a quadratic function from general form to vertex form. The quadratic function y 1 2 x2 5 2 x + 2, with roots x 1 and x 4.
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