PPT-Quadratic functions

Lesson 1 axis of symmetry amp vertex objective Find the Axis of Symmetry of a quadratic function Find the vertex of a quadratic function definitions The standard form of a quadratic equation is . 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.. Holt Algebra 1. Warm Up. Lesson Presentation. Lesson Quiz. Holt McDougal Algebra 1. Warm Up. For each quadratic function, find the axis of symmetry and vertex, and state whether the function opens upward or downward.. :. 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). Introduction. This chapter focuses on basic manipulation of Algebra. It also goes over rules of Surds and Indices. It is essential that you understand this whole chapter as it links into most of the others!. 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 . Section 2.2 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. . 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. 1North Carolina Standard Course of StudyNorth Carolina Math 2Standards for Mathematical Practice1Make sense of problems and persevere in solving them2Reason abstractly and quantitatively3Construct via 3.1A 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 . 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. .