The figure shows the graphs of the functions y = f(x) and y = g(x). The four indicated points all have integer coefficients.
If g(x) = k∙f(x), what is the value of k?
This question is comparing the stretch of f(x) to arrive at g(x).
A graph is stretched away from the xaxis by multiplying the yvalue by a number greater than 1. A graph is reflected over the xaxis by taking the negative of the yvalue. These two are combined, in this particular situation, to create a stretch and a reflection. Note on f(x), the point (1,1). Also note on g(x), the point (1,3). For an x value of 1, the yvalue is multiplied by 3. Note on f(x), the point (0,1). Also note on g(x), the point (0,3). For an x value of 0, the yvalue is multiplied by 3. Thus, since the yvalue in f(x) is being multiplied by 3, a stretch of 3 and a reflection over the xaxis are created to arrive at g(x). k = 3 Ask Algebra House Comments are closed.

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