PPT-Parabola Word Problem

33114 Graphing a Parabola with vertex hk y 2 6y 2x 8 0 X 2 2x 8y 7 0 Graphing a Parabola with vertex hk Finding the location of the receiver in a Satellite Dish. A problem is a question for which there is no apparent solution.. In order to solve the problem, it is necessary to try different approaches in an attempt to find a solution.. This involves the application of prior knowledge and skills as well as the use of various problem solving strategies.. http://datapeak.net/mathematics.htm. -. 2 -1 . . 0 . 1 2. y = x. 2. . Archimedes determined that the area of the parabola was . 4/3 . that of the inscribed triangle. Warm Up. 13. 2. . from (0, 2) to (12, 7). Find each distance.. 3. . from the line . y. = –6 to (12, 7). 13. 1. . Given . , . solve for . p. when . c. =. Write the standard equation of a parabola and its axis of symmetry.. 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. 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. We have done/worked with many variations of a parabola. The . standard form. of a parabola centered the center (h, k) is given by;. . On a parabola, every point is a . fixed . distance from a point known as the . Conic sections will be defined in two different ways in this unit.. The set of points formed by the intersection of a plane and a double-napped cone.. The set of points satisfying certain conditions in relationship to a fixed point and a fixed line or to two fixed points. Unit 5 . Conics... The parabola is the locus of all points in a plane that are . the same distance from a line in the plane, the . directrix. , . as from a fixed point in the plane, the . focus. .. Point Focus = Point Directrix. 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. Slide 1 2-5 GRAPHS OF EXPENSE AND REVENUE FUNCTIONS Find the vertex of the parabola with equation  y  = x 2  + 8 x  + 15 . Vertex formula: (-b/2a, y) Warm Ups: Slide 2 2-5 GRAPHS OF EXPENSE AND REVENUE FUNCTIONS kindly visit us at www.examsdump.com. Prepare your certification exams with real time Certification Questions & Answers verified by experienced professionals! We make your certification journey easier as we provide you learning materials to help you to pass your exams from the first try. Professionally researched by Certified Trainers,our preparation materials contribute to industryshighest-99.6% pass rate among our customers. Lecture-10. Parabola. UG (B.Sc., Part-1) . By. Dr. Md. . Ataur. . Rahman. Guest Faculty. Department of Mathematics. M.L. . Arya. , College, . Kasba. PURNEA UNIVERSITY, PURNIA. Parabola. Vertex. Focus. 3.1A Quadratic Functions . Teacher Notes. A . quadratic function is a function determined by . a second . degree polynomial.. A quadratic function . can . be written in the form . f. (. x. ) = . ax. 2 .