![]() If the negative sign belongs to the x, then the graph will flip about the y-axis. If the negative sign belongs to the y, then the graph will flip about the x-axis. ![]() Remember Reflections: They appear like opposites The line x 3 is a line parallel to Y-axis and at 3 units right from Y-axis. Example: y = | –x| will flip the function about the y-axis If the negative sign belongs to the x-value the graph will reflect about the y-axis. Let A(1, 2) be a point and the line x 3 be the axis of reflection. In this example, flipping the original function across the y-axis is identical to the original graph (so it looks like nothing happened). Example: y = –|x| will flip the function about the x-axis If the negative sign belongs to the y-value the graph will reflect about the x-axis.ĭo you see how the negative sign is on the inside of the function… affecting the x-value of the function? When you apply a negative to each x-coordinate of each point (-x,y), the graph flips across the y-axis. When a point is reflected across the x-axis, the x-coordinates remain the same, whereas the y-coordinate changes into its opposite i.e. Reflection across the x-axis: y f ( x ) y -f (x) yf (x) The concept behind the reflections about the x-axis is basically the same as the reflections about the y-axis. ![]() The mirror image can be either about x-axis or y-axis. A reflection on the x-axis will be obtained by multiplying the function by -1 i. Question: What does a negative do to a graph? Answer: Multiplying a function by a negative sign creates a reflection: y = –f(x) or y = f( –x)įLIPS FUNCTIONS ABOUT THE X-AXIS y = –f(x)ĭo you see how the negative sign is on the outside of the function… affecting the y-value of the function? When you apply a negative to each y-coordinate of each point (x,-y), the graph flips across the x-axis. Reflection over the y axis: When you reflect a point across the y-axis, the y-coordinate remains the same, but the x-coordinate is transformed into its opposite. It is a transformation which produces a mirror image of an object. Interactive Reflections in Math Explorer. ![]()
0 Comments
Leave a Reply. |
AuthorWrite something about yourself. No need to be fancy, just an overview. ArchivesCategories |