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2 years ago

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

Mathematics

1 answer:

8090 [49]2 years ago

6 0

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.

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