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 . Sx Qx Ru with 0 0 Lecture 6 Linear Quadratic Gaussian LQG Control ME233 63 brPage 3br LQ with noise and exactly known states solution via stochastic dynamic programming De64257ne cost to go Sx Qx Ru We look for the optima under control N is the process noise or disturbance at time are IID with 0 is independent of with 0 Linear Quadratic Stochastic Control 52 brPage 3br Control policies statefeedback control 0 N called the control policy at time roughly speaking we choo This PowerPoint . was adapted from . http://. www.purplemath.com/modules/quadform2.htm. and . http://. teachers.henrico.k12.va.us/math/hcpsalgebra2/Documents/6-4/2006_6_4.ppt. Looking Back…. In our previous lesson, we solved quadratic function by . 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.. Regression. By, Tyler . Laufersweiler. Quadratic Regression. Title: Finding . the equation of curves throughout . life . using quadratic regression. This lesson uses a graphing calculator and Geometer’s Sketchpad to find the function of curves throughout the world. This hands-on lesson allows students to explore quadratic regression using their calculators (quadratic regression applet). Students will use Geometer’s Sketchpad to record data points and their calculators or a website to generate a quadratic function using the data that represents the curve. . KFUPM - Prep Year Math Program (c) 20013 All Right Reserved. . Quadratic Equations . . Solving . Quadratic Equation. . . The . Discriminant. . Equations . that Quadratic in Form . Perfect Square Trinomials. Examples. x. 2. + 6x + 9. x. 2. - 10x + 25. x. 2. + 12x + 36. Creating a Perfect . Square Trinomial. X. 2. . + 14x + ____ . Find the constant term by squaring half . Recall, we have used the quadratic formula previously. Gives the location of the roots (x-intercepts) of the graph of a parabola. Function must be in standard form; f(x) = ax. 2. + . bx. + c. Example. Find the roots for the function f(x) = 2x. 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 . I can. :. I can define dilations as a reduction or enlargement of a figure.. I can identify the scale factor of the dilation.. Vocabulary. :. Dilations. Center of Dilation. Similar. Scale Factor. Enlargement. 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.. 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 . 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..