Suppose that the xintercepts of the graph of y fx are 2 and

Suppose that the .x-intercepts of the graph of y = f(x) are 2 and -4 (i.e., (2,0) and (-4,0)). What are the x-intercepts of 2 f(x) f(3x)

Solution

x-int for f(x) are 2 and -4

a) 2f(x) :
What is happening here is that the graph is expanding vertically by a factor of 2, a in all y-values at every point are being doubled.
This wil lnot change x
So, the x-int would be the same (2 , 0) and (-4 , 0) --> ANSWER

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b) f(3x) :
What is happening here is that the graph is getting horizontally compressed by a factor of 3.
So, where the original x-int were 2 and -4,
now, we have x-ints as :
(2/3 , 0) and (-4/3 , 0) ---> ANSWER