Question

A graphic given by a function, f(x) is on a 8.5 by 11 in. page. If...

A graphic given by a function, f(x) is on a 8.5 by 11 in. page. If the page is scaled down to a 7 by 10 in. page and the graphic is scaled according, describe the scaling in terms of transformations of the function. (Hint: Consider that the over all page shrunk from 11 to 10 inches in the y-direction. What value of c does this give for a vertical dilation? Then consider the horizontal translation.)

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Answer #1

The original graphic is given by a function f(x) on a 8.5 by 11 in page;
Now this page has shrunk to 7 by 10 in

We know that the length and breadth ratio of the graphic is ot be retained;
11 inch page shrunk to 10 inch;
So the breadth got shorter to a factor of 10/11;
The new breadth is 7 in whereas the old breadth was 8.5 in
So the breadth got shorted to a factor of 7/8.5
Since 7/8.5 < 10/11; the dimension that shrunk the most in proportion terms is breadth;
So we need to use the limiting dimension: the breadth and determine the length of the graphic;

7/8.5 * 11 = 9.0588
So the actual length and breadth of the graphic on the new page is 7 by 9.0588 in

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