PPT-Properties of Parabolas

52 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 . 3 largesample properties CB 101 1 FINITESAMPLE PROPERTIES How an estimator performs for 64257nite number of observations Estimator Parameter Criteria for evaluating estimators Bias does EW Variance of you would like an estimator with a smaller varia 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. We already know A LOT about parabolas. 2 forms (standard and vertex). How to find Vertex (. h,k. ) or (-b/2a). Axis of Symmetry. Characteristics. Many ways to solve their equations. Solutions are x intercepts. Leading The. Connected . Organisation. Y. our greatest Asset. ?. . I. don’t think so . It’s the mindset that drives the relationships between your people. .. Is it your people. ?. . Connecting Or Disconnecting. Justin Besplug, Ron Spencer and Tom Weedmark - XRF Solutions - www.xrfsolutions.ca. ABSTRACT. Portable X-Ray Fluorescence (XRF) instruments allow a large amount of data to be obtained rapidly, with minimal sample preparation or drilling impact, and at low cost. Rock powders, cuttings, slabs or core faces can be analysed directly using this non-destructive technique. XRF analyses provide highly precise, and if calibrated properly, accurate data on the bulk chemistry. Proprietary normative mineral algorithms are applied in order to convert the elemental chemical data to mineralogy. Mineral abundances determined from the XRF analyses correlate well with those obtained by X-Ray Diffraction, thin section point counting and SEM analyses. The vast majority of the data fall within the 5% envelope expected from the precision of the XRD analyses when compared with XRF determined mineralogy. Mineralogy in the Montney is variable and the most abundant minerals are calcite, dolomite, quartz, feldspar and . An XRF . reservoir quality log suite is . shown below for . a core in the Montney Formation. . The . most important factors . for proper . evaluation of the target reservoir . are . gathered into one . of . Matter. Chapter. 6. 6.1 Matter. Objectives. Define matter and describe its major properties.. Explain how the arrangement of particles in a substance may determine its properties.. Classify kinds of matter based on their properties.. Logarithims. . Three properties of logarithms correspond to properties of exponents. 1) . log. a. (. xy. ) = . log. a. (x) + . log. a. (y) . 2) . log. a. (x/y) = . log. a. (x) – . log. a. (y). 3) . Ursa. Minor (Little Dipper). Ursa. Major (Big Dipper). Cassieopa. Cepheus. Draco. Orion. Bootes. Capella. Castor & . Pollux. (Gemini). Corona Borealis. Saggitarius. Hercules. Fomahault. (Pieces). 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.. 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. States of matter. Matter. - the substance all things are made from can exist in 3 states.. Name three gases. Name three liquids. Name three solids. Can mater change its state? . If so how?. . Forces.