PPT-Focus of a Parabola

Section 23 beginning on page 68 By the End of This Section You will understand how a parabola is related to its focus and directrix You will understand how the focus and directrix affect the shape of a parabola. You will be glad to know that right now Manual Focus Digital Camera Reviews is available on our online library With our online resources you can find Manual Focus Digital Camera Reviews or just about any type of manual for any type of product Best o 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.. 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. 5.1 Stretching/Reflecting Quadratic Relations. SQUARE. STRETCH IT. COMPRESS IT. TRIANGLE. STRETCH IT. COMPRESS IT. We can transform the shape of a parabola too:. Transforming Parabolas. y = x. 2. y = 9x. 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.. 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. 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.. Coordinate Systems. Dr J Frost (jfrost@tiffin.kingston.sch.uk) . Last modified: . 29. th. August 2015. Conic Sections. In FP1 and FP3, we’ll be examining different types of curves.. All the ones you’ll see can be obtained by taking ‘slices’ of a cone (known as a . 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. 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 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.. Graph a parabola and identify its focus, directrix, and axis of symmetry.. 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. Parabola in Parallelogram. The coordinates of two points on the parallelogram, . and . , are shown on the diagram. Also shown is the . -coordinate of the minimum point.. The upper dashed line extends the chord . 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 .