Using translation concepts, the value of k is given as follows:
B) 1/5.
What is a translation?
A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.
In this graph, we have that g(x) = f(kx), hence since g(-2) = f(-10):
-2 = -10k
k = 2/10
k = 1/5.
Hence option B is correct.
More can be learned about translation concepts at https://brainly.com/question/4521517
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