Question

Given f(x) and g(x) = k⋅f(x), use the graph to determine the value of k.

Answer 1

Answer:

  (a)  -5

Step-by-step explanation:

The vertical scale factor for the graph and the function can be found by comparing the y-value of a point on f(x) to the y-value of a point on g(x). The graph conveniently marks two corresponding points with these y-values:

  f(-2) = 2

  g(-2) = -10

The value of k in g(x)=k·f(x) is the ratio of these y-values:

  k = g(-2)/f(-2) = -10/2 = -5

The value of the vertical scale factor k is -5.