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Warm-Up Question. For each equation, fill the table and then plot. Quadratic Relations and Conic Sections. Equations of Parabolas. Standard Equation of a Parabola. Lesson: P.490. The standard form of the equation of a parabola with vertex at (0, 0) is as follows:
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Warm-Up Question For each equation, fill the table and then plot.
Quadratic Relations and Conic Sections Equations of Parabolas
Standard Equation of a Parabola • Lesson: P.490 The standard form of the equation of a parabola with vertex at (0, 0) is as follows: EquationFocusDirectrixAxis of Symmetry (0, p) y = -p Vertical (x = 0) (p,0) x = -p Horizontal (y = 0) Refer to page 496 of the textbook for diagrams. • Example: P.497 Identify the focus, directrix, and axis of symmetry of parabola . Required Practice: P.498 – G.P. 1, 4; P.499 – 15, 21 Additional Practice: P. 499 17, 19
Writing an equation of a parabola • Example: P.498 Write the standard form of the equation of the parabola with vertex at (0, 0) and the given directrix or focus. 1) 2) Required Practice: P.499 – 26, 29, 34, 36; P.500 – 39, 40, 48, 50 Additional Practice: P.499 – 35, 37; P.500 – 47, 49
Homework Assignment Workbook page 101 - 102 4, 5, 7, 8, 10, 12, 13, 15, 16, 17, 20, 21