OpenStax. Ch. 1 Introduction to Prerequisites - College Algebra. Vertex form introduction. Completing the Square: Finding the Vertex. Completing the Square: Finding the Vertex (page 1 of 2) The vertex form of a quadratic is given by y = a(x – h)2 + k, where (h, k) is the vertex.

The "a" in the vertex form is the same "a" as in y = ax2 + bx + c (that is, both a's have exactly the same value). The sign on "a" tells you whether the quadratic opens up or opens down. Think of it this way: A positive "a" draws a smiley, and a negative "a" draws a frowny. (Yes, it's a silly picture to have in your head, but it makes is very easy to remember how the leading coefficient works.)

In the vertex form of the quadratic, the fact that (h, k) is the vertex makes sense if you think about it for a minute, and it's because the quantity "x – h" is squared, so its value is always zero or greater; being squared, it can never be negative. Suppose that "a" is positive, so a(x – h)2 is zero or positive and, whatever x-value you choose, you're always taking k and adding a(x – h)2 to it. Find the vertex of y = 3x2 + 2x – 1. College algebra supplementary information. Absolute Value Abolute Value Inequalities All about ALEKS Applications Average Rate of Change Function Binomial Theorem Calculator Tips Common Algebra Errors Completing the square Conics (Parabola, Ellipse, Hyperbola) Conics - Building Equations Determinant - combining row operations with expanding by cofactors Domain Dot-Cross Technique Even & Odd Functions Function Notation Gaussian Elimination Method to Solve Systems of Linear Equations Greatest Common Factor Partial Fraction Decomposition Pencasts of Sample Problems Point on a curve closest to a fixed point Proof by Math Induction Polynomials and their Zeros Polynomials - LUB and GLB for the real roots Rational Functions Review for the Final Exam Sequences - Proofs of Arithmetic & Geometric Sequences & Series - General terms A Study of Symmetry Systems of Linear Equations - infinite solutions Cool video - math behind the 9-11 memorial Vocabulary.

MATH 1314: College Algebra. Copyright This courseware includes resources copyrighted and openly licensed by multiple individuals and organizations.

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ORCCA Front Matter. Katrina Johnson-Math10. Sat., Jan. 5 - 8:00am-12:00pm in LCB 219 WarmUP Day 1 & Key The following is a selection of problems from "Business Algebra" Edition 1 by Kelly MacArthur.

Linear Equations and Linear Inequalities Story Problems Practice Key The following worksheet are found at purplemath.com by following the link for "Quizzes and Worksheets" and then the link for Infinite Algebra ("free algebra worksheets"). Order of Operations Practice Linear Equations (in one variable) Practice Coordinate Plane Practice Midpoint Formula Practice Distance Formula Practice WarmUP Day 2 Key.

Algebra. Show Mobile NoticeShow All NotesHide All Notes You appear to be on a device with a "narrow" screen width (i.e. you are probably on a mobile phone).

Due to the nature of the mathematics on this site it is best views in landscape mode. If your device is not in landscape mode many of the equations will run off the side of your device (should be able to scroll to see them) and some of the menu items will be cut off due to the narrow screen width. Here are my online notes for my Algebra course that I teach here at Lamar University, although I have to admit that it’s been years since I last taught this course.

At this point in my career I mostly teach Calculus and Differential Equations. Despite the fact that these are my “class notes”, they should be accessible to anyone wanting to learn Algebra or needing a refresher for Algebra. Here are a couple of warnings to my students who may be here to get a copy of what happened on a day that you missed. College Algebra.