transformation of graphs a level
The graph of af(x) is a stretch scale factor a in the y-axis. This is because all the y-values become ‘a’ times bigger. The graph of f(ax) is also a stretch. This time the multiple affects the x-values. (Everything happens ‘a’ times quicker.) Therefore: The graph of f(ax) is a stretch scale factor 1/a in the x-axis.
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Graph Transformations Exam Questions. There is a minimum at the origin, a maximum at the point (3, 27) and C cuts the x-axis at the point A. On each sketch you should indicate clearly the coordinates of …
Functions and Transformation of Graphs. Functions. y = x2 + 3x -2 is said to be a function of x – an expression of x. This can also be written, in a bit more advanced way as f(x) = x2 + 3x -2 – it is read as you write, function of x, f(x) So, f(x) = x2 + 3x -2. Now whatever you …
Transformations – Graphs. The graphs given by the equation are called hyperbolae. One is illustrated below. In fact there are a set of equations which all give the same shape of graph as shown above. The graphs may be moved up or down, translated, rotated or any combination of these, but the shapes of the graphs are still fundamentally the same.
Jul 10, 2014 · This video explains how to be able to know what a transformation is telling you to do, how you can sketch a transformation on a pair of axis and gives you an exam question to have a go at.
Transformations – A-Level Maths by StudyWell Transformations Given the curve of a given function y=f(x), you may be required to sketch transformations of the curve.
Function Transformations Just like Transformations in Geometry , we can move and resize the graphs of functions Let us start with a function, in this case it is f(x) = x 2 , but it could be anything: