PPT-parabola

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. 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.. 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. 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. 3/31/14. Graphing a Parabola with vertex (. h,k. ). y. 2. – 6y -2x + 8 = 0. X. 2. – 2x – 8y – 7 = 0. Graphing a Parabola with vertex (. h,k. ). Finding the location of the receiver in a Satellite Dish.. Recall…. A quadratic equation is an equation/function of the form f(x) = ax. 2. + . bx. + c. Vertex Form. To facilitate an easier way to graph, we can look at the . vertex form. of a quadratic. Vertex. 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. 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 Pencil, 60/30°, Compass Set-Square & Masking tape. Step 1: Set up and line out page as per specification. Step 2: Locate start point of parabola on the page. Step 3: Using the rectangle method, draw a rectangle using desired measurements. Note that measurements divisible by 5 are easy to work with.. 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 . Parametric Equations. 6. .1 . Introduction. The General Quadratic Equation in x and y has the form:. Where A, B, C, D, E, F are . constants.. The graphs of these equations are called . Conic Sections.