For the function f(x) = x^2, what effect will multiplying f(x) by 1/2 have on the graph? a. the graph will be compressed horizontally. b. the graph will be shifted horizontally. c. the graph will be stretched vertically. d. the graph will be compressed vertically.

geometry: triangles

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call the larger triangle abc

then the smaller triangle cde is similar to abc (all angles are equal, aaa).  

ab is the side that is 36, and we wish to find de, the side corresponding to ab

area_cde = area_abc - area_cde --> area_abc / area_cde = 2

let x=length of de

ratio of areas = (ratio of sides)^2

+2+=+%2836%2fx%29%5e2+

+2+=+1296%2fx%5e2+

++x%5e2+=+1296%2f2+=+648+

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