PPT-Horizontal Dilations of Quadratic Functions

Unit 4 Lesson 4 DO NOW ACT Strategy PITA Plug in the Answers In a piggy bank there are pennies nickels dimes and quarters that total 217 If there are 3 times as many pennies as there are dimes I more dime than nickels and 2 more quarters than dimes then how many pennies are in the piggy bank . :. 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. Lesson 1 – axis of symmetry & 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 . 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 . Draw dilations.. Draw dilations in the coordinate plane.. Definitions. A . dilation. or scaling is a similarity transformation that enlarges or reduces a figure proportionally with respect to a center point and a scale factor.. 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:. The parent function . y . = sin(. x. ) can be transformed using four parameters. . Each parameter describes . a certain characteristic of the graph. .. y . = . A. sin. [. B. (. x . – . C. )] . D. 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. .