Mathematics - Lecture 11 "Symmetry of graphs, graphs of circles and parabolas, and translations of graphs" presents the following content: Symmetry of the graphs of equations, parabolas, circles. | Symmetry of Graphs, Graphs of Circles and Parabolas, and Translations of Graphs Mathematics 17 Institute of Mathematics, University of the Philippines-Diliman Lecture 11 Math 17 (UP-IMath) Parabolas, Circles, Symmetry Lec 11 1 / 25 Outline 1 Symmetry of the Graphs of Equations 2 Parabolas 3 Circles Math 17 (UP-IMath) Parabolas, Circles, Symmetry Lec 11 2 / 25 Symmetry of Graphs Math 17 (UP-IMath) Parabolas, Circles, Symmetry Lec 11 3 / 25 Symmetry of Graphs Symmetry with respect to a point line Math 17 (UP-IMath) Parabolas, Circles, Symmetry Lec 11 3 / 25 Symmetry of Graphs Intuitively, a graph is symmetric with respect to a line l if the graph is unchanged after reflecting about the line l. graph of y = Math 17 (UP-IMath) 1 x is symmetric with respect to the line with equation y = x Parabolas, Circles, Symmetry Lec 11 4 / .
