PPT-Math 20-1 Chapter 3 Quadratic Functions

31A Quadratic Functions Teacher Notes A quadratic function is a function determined by a second degree polynomial A quadratic function can be written in the form f x ax 2 . The Language of Algebra. Language of algebra. To be able to write an English paper you’re going to have to know just some basic rules of language. For instance, you have to obviously know things such as the alphabet and punctuation.. Tya Hyde. This Unit……..3.3-5.4. You Know You have mastered this unit when you can do this without any problems.. One example of how you can apply chapter 3 to real life is by using linear programming to keep organized. When I say that I mean that you can keep organized by being able to figure out your profit/ income ect. . :. 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. . Definition or Depiction. Linear Function: . f(x) = . mx+b. Makes a line. Constant change in y for each change in x . Quadratic Function: . Standard Form: f(x) = x. 2. +bx+c or . Vertex Form: f(x) = a(x-h). KFUPM - Prep Year Math Program (c) 20013 All Right Reserved. . Quadratic Equations . . Solving . Quadratic Equation. . . The . Discriminant. . Equations . that Quadratic in Form . Essential Questions . and Quadratics review. Function, relation, domain, range, perfect square trinomial, difference of perfect squares, roots/zeroes, real and complex roots, extrema, minimum, maximum, y-intercept, line or Axis of symmetry, standard form, vertex form, intercept form, 1. Standards 8-10. Graphs of Quadratic Functions . U- Shaped Graph . Vertical y=x. 2. or Horizontal x=y. 2. Positive Negative . Summary: The of a Quadratic Function is U shaped. . Positve. Int. Math 2. Vocabulary. Linear, non-linear, increasing, decreasing, rate of change, growth rate, domain, range, continuous, discontinuous, discrete, relation, function, inverse function, inverse . of a . Quadratic Function. A . quadratic function . is defined by a quadratic or second-degree polynomial.. Standard Form. , . where . a. . ≠ 0. .. Vertex Form. , where a. . ≠ 0..  . Vertex and Axis of Symmetry. Operations on Functions and Analyzing Graphs. College Algebra Chapter 3.1 The algebra and composition of functions. Sums and Differences of Functions. For functions f and g with domains of P and Q respectively, the sum and difference of f and g are defined by:. 1North Carolina Standard Course of StudyNorth Carolina Math 2Standards for Mathematical Practice1Make sense of problems and persevere in solving them2Reason abstractly and quantitatively3Construct via 2x. 2. – 4x(3x – 5). 3x(x – 2). (x – 2)(x + 5). (-4x + 3)(2x – 7). 3x(2x – 7) + 6x(4x + 5). x(1 – x) – (1 – . 2x. 2. ). (5x + 3). . 2. -7x(. 5x. 2. . – . 4x). (. 4x. . – . 5) (-2x. 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. ACT. Objectives . F-IF.4: For . a function that models a relationship between two quantities, interpret key features of graphs and tables in terms of the quantities, and sketch graphs showing key features given a verbal description of the relationship. .