MATH 140 Lecture Notes - Lecture 3: Eurovision Song Contest, Farad, Function Composition

• School: McGill University
• Department: Mathematics & Statistics (Sci)
• Course: MATH 140
• Professor: Ewa Duma

Document Summary

By applying certain transformations to the graph of a given function we can obtain the graphs of certain related functions. This will give us the ability to sketch the graphs of many functions quickly by hand. 0 y=f(x+c) c c c y= +c y = y=f(x-c) y=f(_x) c x y= -c y. 0 y=c (c>1) y= y= 1 c y=_ x. In order to consider stretching and re ecting transformation, we have to consider c > 1, Translating the graph of the the graph of y = cf(x) is the graph of y = f(x) stretched by a factor of c in the vertical direction. The graph of y = -f(x) is the graph of y = f(x) re ected about the x-axis because the point (x, y) is replaced by the point (x, -y). Example 2: vertical and horizontal stretching and re ecting.