PPT-Characteristics of Quadratic Functions

Section 22 beginning on page 56 By the End of This Section You will be able to identify key aspects of the graph of a function based on its equation in vertex form intercept form and standard form . Grades C to A*. Hyperlinks!. Expanding a single bracket. Solving quadratics by factorising. Factorising quadratic expressions. Factoring expressions. Multiplying out 2 brackets. Quadratic simultaneous equations. Page 3. General equation of a quadratic:. Quadratic Formula:. Notice where the letters come from for the formula. We use the quadratic formula when something can not be factored. However, it also works for factorable quadratic equations as well.. Section 3.4 beginning on page 122. The Big Ideas. The . quadratic formula . allows us to . solve any quadratic equation . once it is written in standard form. The . discriminant. . is a part of the quadratic formula that tells us . :. Quadratic Functions. . Section: . 2.1. Pages. : 92-102. My Learning Goals. 1. . Be able to analyze the the components of a quadratic function. . 2. . Be able to convert between the different quadratic forms. . KFUPM - Prep Year Math Program (c) 20013 All Right Reserved. . Quadratic Equations . . Solving . Quadratic Equation. . . The . Discriminant. . Equations . that Quadratic in Form . Hubarth. Algebra. Standard Form of a Quadratic Function. A quadratic function is a function that can be written in the form . , . where a, b, and c are real numbers and a. 0. This form is called standard form of a. There are many uses of parabolas in real-world applications.. Graphs of Quadratic Functions. Plotting quadratic curves. If you remember a relation is a correspondence between two sets of numbers called the . Tammy Wallace. Varina High. What is a Quadratic Equation?. A . QUADRATIC EQUATION. is an equation in which the greatest power of any variable is 2. . The standard form of a quadratic equation is . December 5. , 2016. Quadratic functions are polynomial equations that have an __________ in the equation and ____________ is the highest exponent of x. . The standard form of a quadratic equation is :. Recall, we went over how to factor quadratics that are trinomials. Example. Factor the expression x. 2. 7x 12. Quadratic Equations. Quadratic Equations. are written in the form ax. 2. . bx. c = 0. GCSE: Solving Quadratic Equations Dr J Frost (jfrost@tiffin.kingston.sch.uk) Last modified: 2 nd June 2015 Overview There are 4 ways in which we can solve quadratic equations.   1 By Factorising 2 1North Carolina Standard Course of StudyNorth Carolina Math 2Standards for Mathematical Practice1Make sense of problems and persevere in solving them2Reason abstractly and quantitatively3Construct via Steven J Miller, Williams College (sjm1@Williams.edu). 1. https://web.williams.edu/Mathematics/sjmiller/public_html/math/talks/talks.html. Goals. Learn how to solve polynomial equations and see applications of polynomials and ways to find their roots.. ISBN 978-0-88385-767-0. Behavior of Polynomial Functions. Behavior of Polynomial Functions depend on:. Degree of the polynomial (most important). Value of the zeros. Sign of the leading coefficient. Quadratic Polynomials.