PPT-Quadratics Quadratic Graphs

Expanding Brackets Factorising Expanding Double Brackets Solving Linear Equations Plotting graphs by substitution into equations Solving Quadratic Equations Solving Quadratics. Grades C to A*. Hyperlinks!. Expanding a single bracket. Solving quadratics by factorising. Factorising quadratic expressions. Factoring expressions. Multiplying out 2 brackets. Quadratic simultaneous equations. 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 . Get out a clean sheet of paper. Write your name at the top. . This will be turned in. .. Solve each equation by completing the square.. . .  . 4.6 Quadratic Formula. What THREE methods have we used so far to solve quadratics?. 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.. 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). Hubarth. Algebra. Standard Form of a Quadratic Function. A quadratic function is a function that can be written in the form . , . where a, b, and c are real numbers and a. 0. This form is called standard form of a. 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.. Chapter 8/9 Notes. Part II. 8-5, 8-6, 8-7, 9-2, 9-3. Section 8-5: Greatest Common Factor, Day 1. Factors –. Factoring – . Standard Form Factored Form. Section 8-5: Greatest Common Factor, Day 1. Quadratics in the Era of CCSS-M. Faylesha. Porter. Regeta Slaughter. Nicole . Yakes. Welcome!. Who Are We?. Place a sticky dot on the histogram indicating the number of years you have been teaching 8. 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. In preparation for the Algebra CST. -b . . b. 2. – 4ac. 2ac. √. (x 4)(x-3)=0. (x 1)(x 2). X. 2. – 5x 4. F O I L. Complete. The Square. Multiplying Polynomials. Area Model of Multiplication. 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?. Recall, we went over how to factor quadratics that are trinomials. Example. Factor the expression x. 2. 7x 12. Quadratic Equations. Quadratic Equations. are written in the form ax. 2. . bx. c = 0. 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.