Transformation of a Function

The figure shows the graphs of the functions
y = f(x) and y = g(x).  The four indicated points all have integer coordinates.  

If g(x) = k • f(x), what is the value of k?

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Look at what is happening to the y-values between the two graphs.

From the y-value in f(x) going from 1 to -3 in g(x)
and the y-value in f(x) going from -1 to 3 in g(x)

Think:  what is being multiplied by the f(x) value in order to obtain the g(x) value?

It is -3

Therefore g(x) = -3 • f(x)

k = -3

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