MTH 120 - Quadratics - Essential Lecture Notes for 11.5...

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Unformatted text preview: Essential Lecture Notes for 11.5 & 11.6 Essential Lecture Notes for 11.5 & 11.6 11.5 This Document : Analyzing & Graphing Quadratic Equations in Vertex Form: f(x) = a(x – h) 2 + k 11 5 A Analyzing Quadratic Equations in Vertex Form 11.5.A Analyzing Quadratic Equations in Vertex Form 11.6.A Graphing Quadratic Equations in Vertex Form 11.6.A.i The relationship between Vertex Form and Standard Form 11.6.A.ii Determining (a) direction of opening, (b) line of symmetry, and (c) vertex from the Vertex Form 11.6.A.iii Graphing the quadratic equation 11.6 Last Document : Analyzing & Graphing Quadratic Equations in Standard Form: f(x) = ax 2 + bx + c Equations in Standard Form: f(x) = ax 2 + bx + c Graphing Quadratic Equations in Vertex Form Graphing Quadratic Equations in Vertex Form The Relationship between Vertex Form and Standard Form In a moment you will discover that graphing quadratic equations that are in Vertex In a moment, you will discover that graphing quadratic equations that are in Vertex Form is much simpler than graphing quadratic equations that are in Standard Form. If this is true, then why pray tell did I walk you through 11.6 first? The answer lies in the fact that most quadratic equations are typically in Standard Form (or are almost in Standard Form) and while it may be easier to graph a quadratic equation when it is in Vertex Form, converting it from Standard Form to Vertex Form is somewhat difficult (insofar as it relies on your having to Complete the Square ) and creates numerous opportunities to make unnecessary arithmetic mistakes mistakes. [ Now, the fact remains you will need to be able to Complete the Square in pre- calculus, and fortunately you have been provided sufficient instruction in class and ample practice opportunities in the optional MathLab homework assignment to be we prepared for this next math course well-prepared for this next math course. ] Bottom Line for the Final Exam • Graph quadratic equations in Standard Form using the techniques of 11.6, and • Graph quadratic equations in Vertex Form using the techniques below....
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This note was uploaded on 02/29/2012 for the course MATH 120 taught by Professor Adjunct during the Fall '11 term at Northern Virginia Community College.

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MTH 120 - Quadratics - Essential Lecture Notes for 11.5...

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