Unformatted text preview: €™â€˜vertical compressionâ€™ or â€˜vertical contractionâ€™ by a factor of 2. 1.8 Transformations 95 by a factor of 2â€™ makes sense if we are scaling something by multiplying it by 2. Similarly, we
believe words like â€˜shrinkâ€™, â€˜compressionâ€™ and â€˜contractionâ€™ all indicate something getting smaller,
so if we scale something by a factor of 1 , we would say it â€˜shrinks by a factor of 2â€™  not â€˜shrinks by
2
a factor of 1 .â€™ This is why we have written the descriptions â€˜stretch by a factor of aâ€™ and â€˜shrink by
2
1
a factor of a â€™ in the statement of the theorem. Second, in terms of inputs and outputs, Theorem 1.5
says multiplying the outputs from a function by positive number a causes the graph to be vertically
scaled by a factor of a. It is natural to ask what would happen if we multiply the inputs of a
function by a positive number. This leads us to our last transformation of the section.
Referring to the graph of f given at the beginning of this section, suppose we want to graph
g (x) = f (2x). In...
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 Fall '13
 Wong
 Algebra, Trigonometry, Cartesian Coordinate System, The Land, The Waves, RenÃ© Descartes, Euclidean geometry

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