Transformations are used to change the graph of a parent function into the graph of a more complex function. Here, X2 and Y2 are the new reflected coordinates, while X1 and Y1 are the original coordinates. The tool lets you enter 3 different points on it and reflects them on the x-axis using the formula (X2, Y2) (X1, Y1) (1, -1). Stretching a graph means to make the graph narrower or wider. Ans: Yes, you can call a reflection calculator a reflection over x-axis equation calculator. They are caused by differing signs between parent and child functions.Ī stretch or compression is a function transformation that makes a graph narrower or wider. In order to do this, the process is extremely simple: For any function, no matter how complicated it is, simply pick out easy-to-determine coordinates, divide the x-coordinate by (-1), and then re-plot those coordinates. ![]() Reflections are transformations that result in a "mirror image" of a parent function. Reflecting a graph means to transform the graph in order to produce a "mirror image" of the original graph by flipping it across a line. All other functions of this type are usually compared to the parent function. Sketch the graph of each of the following transformations of y = xĪ stretch or compression is a function transformation that makes a graph narrower or wider, without translating it horizontally or vertically.įunction families are groups of functions with similarities that make them easier to graph when you are familiar with the parent function, the most basic example of the form.Ī parent function is the simplest form of a particular type of function. Use the definitions you have learned to graph the reflection of parallelogram through the y-axis given parallelogram with the points, ,, and. Graph each of the following transformations of y=f(x). ![]() Let y=f(x) be the function defined by the line segment connecting the points (-1, 4) and (2, 5).
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