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Suppose the function f(x) is defined on the domain {x_1, x_2, x_3}, so that the graph of y = f(x) consists of just three points. Suppose those three points form a triangle of area 75. The graph of y = 2f(3x) also consists of just three points. What is the area of the triangle formed by those three points?

 Dec 8, 2020
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The horizontal separation is tripled, the vertical separation is doubled, so the area will increase by a factor of 3*2 = 6.  i.e. new area = 75*6.

 Dec 8, 2020

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