Foundations of Mathematics: Algebra, Geometry, Trigonometry, Calculus by Philip Brown

Author:Philip Brown
Language: eng
Format: epub, mobi
ISBN: 9781944534417
Publisher: Mercury Learning and Information LLC
Published: 2016-02-09T05:00:00+00:00

If we write the equations in reverse order, then we obtain

By means of this reversed calculation, we write A situation in which it is useful to do this is when we need to draw the graph of It might not be immediately obvious what this graph should look like, but in the alternative form we know immediately that, if we start with the graph of then we can shift this graph two units to the left, reflect the graph over the x-axis and shift the graph up one unit to finally obtain the graph we want.

A more general form of the calculation above is:

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