PDF-P such that distance(P,F) = distance(P,D) is called a parabola.

up down right or left Equations for parabolas can be derived using the above definition and the distance formula See page 639 in the text y2 4ax x2 4ay open. 2 A Fool Such As I Im a fool but Ill love you dear un til the day I die Now and then theres a fool such as I Now and then theres a fool such as I Now and then theres a fool such as I A FOOL SUCH AS I Intro A C7 D A each gets 4 beats A E7 A D7 A Now a Factor: 3x. 2. + 10x + 8. Factor and Solve: 2x. 2. - 7x + 3 = 0. Math I. UNIT QUESTION: What is a quadratic function?. Standard: . MM2A3, MM2A4. Today’s Question:. How do you graph quadratic functions in vertex form?. 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. Hubarth. Algebra. Standard Form of a Quadratic Function. A quadratic function is a function that can be written in the form . , . where a, b, and c are real numbers and a. 0. This form is called standard form of a. 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.. 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. There are many uses of parabolas in real-world applications.. Graphs of Quadratic Functions. Plotting quadratic curves. If you remember a relation is a correspondence between two sets of numbers called the . GeoGebra. Ann . Schnurbusch. Southeast Missouri State University. Occurrence of the Conics. http://britton.disted.camosun.bc.ca/jbconics.htm. (All general info about conics is from this website.). Mathematicians have a habit of studying, just for the fun of it, things that seem utterly useless; then centuries later their studies turn out to have enormous scientific value.  There is no better example of this than the work done by the ancient Greeks on the curves known as the conics: the ellipse, the parabola, and the hyperbola. They were first studied by one of Plato's pupils. No important scientific applications were found for them until the 17th century, when . 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 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.. 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 .