PPT-Parabolas

We already know A LOT about parabolas 2 forms standard and vertex How to find Vertex hk or b2a Axis of Symmetry Characteristics Many ways to solve their equations Solutions are x intercepts. p = 4k – 1 asymmetry theorem . for quadratic residues . by Jim Adams . Sources. Part I: Mathematics – Number Theory item 2A in www.jimhadams.com.. Part II: Mathematics – Number Theory item 2B.. Date: ____________. Parabolas. Parabola—Set of all points in a plane that are the same distance from a given point called the focus and a given line called the . directrix. .. Vertex. Focus. Directrix. Section 2.3 beginning on page 68. The Big Ideas. In this section we will learn about…. T. he focus and the . directrix. of a parabola. Writing equations for parabolas using the focus, the . directrix. A journey into different representations. Waterslide. Where’s the maths?. “. solving a problem simply means representing it so as to . make the . solution transparent.”. Herbert . Simon. Father of problem solving research. §. 5.2. Objectives. Graph quadratic functions.. Find the maximum and minimum value of quadratic functions.. By the end of today, you should be able to…. Properties of Parabolas. Recall: . The . standard form of a quadratic function is . Spring 2010. Math . 2644. Ayona Chatterjee. Conic sections result from intersection a cone with a plane.. PARABOLAS. A parabolas is the set of points in a plane that are equidistant from a fixed point F (called the focus) and a fixed line (called the directrix).. OTHER VIEW OF CONIC SECTIONS. THE CIRCLE. CONIC SECTION – THE CIRCLE. Equation for a Circle. Standard Form: x² + y² = r². You can determine the equation for a circle by using the distance formula then applying the standard form equation.. Objective: Students . will be able . to solve problems where the variable is squared and understand more about the quadric function.. Graph. We talked about last unit. Parabola. When solving a squared problem we are looking for where the graph crosses the x axis.. Holt Algebra 2. Warm Up. Lesson Presentation. Lesson Quiz. Holt McDougal Algebra 2. Warm Up. 13. 2. . from (0, 2) to (12, 7). Find each distance.. 3. . from the line . y. = –6 to (12, 7). 13. 1. . Garrett . Delk. gdelk71687@csu.fullerton.edu. Department of Mathematics. CSU Fullerton. Presented at . 2013 CMC Conference. Palm Springs, CA. Parabolas and Quadratic Equations. Agenda. Welcome. CCSS. Parabolas. The graph of a quadratic equation. Comprised of several parts. Vertex. Axis of Symmetry. X-. interceptS. (maybe?). Y – intercept . Axis of Symmetry . The central line that splits the middle of the parabola. Parabolas are shaped like a U or C. Parabolas. Equations -. y-k . = a(x - h). 2. . opens up if a > 0, opens down if a < 0.. x-h. . = a(y - k). 2. . opens right if a > 0, opens left if a < 0.. 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 :. Valerie Belew . History of Parabolas . Menaechmus. (380 BC - 320 BC) found the parabola. Apollonius (262 BC - 190 BC) named the parabola. Pappus. (290 - 350) found the focus and . directrix. of the parabola.