PPT-Linear vs. Quadratic Form of an Equation

Linear Example Quadratic Example   Individual Task Find one ordered pair in the form xy using your two cards Create two equations that contain the point above One Linear One Quadratic. 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 Quadratic Equations. Prepared by . Doron. . Shahar. Warm-up: page . 15. A . quadratic equation. is an equation that . can be. . written. in the form _____________ where . a. , . b. , and. c. are constants and . 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 . Richardson 423. Math 2. Quadratics: What’s the big deal?. In this chapter of Math 2 we will be covering Quadratics. In the previous lesson we learned to quantify groups of terms, exponents, and multiple variable problems.. 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. 7.7 Solving Quadratic Equations by Factoring. Checklist for factoring polynomials of any type.. 1. If the polynomial has a greatest common factor other than 1, factor out this GCF. 2. If the polynomial has two terms (binomial), check to see if it is a difference of two squares or sum/difference of two cubes and factor accordingly, if it is a sum of squares it will not factor. Find the roots:. 1) x. 2. – 64 = 0 . 2) 8x. 2. – 64x = 0. 3) x. 2. – 16x + 64 = 0. 1) Ensure the quadratic equation is set to zero.. 2) Factor the quadratic equation (GCF, perfect square binomial [DOTS], trinomial). Quadratic Equations and their Applications. Standard 14: Graph and analyze quadratic functions.. Domain and Range. X and Y intercepts. Maximum or Minimum Values. Intervals of increasing and decreasing. By the end of the section students will be able to write the standard form of a linear equation given the length of the normal and the angle it makes with the x-axis and write linear equations in standard form as evidenced by a mix-match activity.. Algebra 2. Chapter 9. This Slideshow was developed to accompany the textbook. Larson Algebra 2. By Larson. , R., Boswell, L., . Kanold. , T. D., & Stiff, L. . 2011 . Holt . McDougal. Some examples and diagrams are taken from the textbook.. 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 . General Equation. Y = ax². What if A was positive?. Test in your calculator. What if A Was negative?. Test in your calculator.. Y = ax². What if A was greater than 1?. Test in your calculator. What if A Was less than 1?. 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 :.