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The graph of f(x) and table for g(x)= f(kx) are given.



The graph shows an upward opening parabola labeled f of x that passes through a point negative 2 comma 8, a point negative 1 comma 2, a vertex 0 comma 0, a point 1 comma 2, and a point 2 comma 8.





x g(x)

−4 8

−2 2

0 0

2 2

4 8



What is the value of k?

k is equal to one third

k = 3

k is equal to one half

k = 2

Verified Answer :

churubadavid54

Answer:

k=1/2

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Step-by-step explanation:

To find the value of , we can analyze the transformation from () to()=()based on the given table. Comparing the values of x inf(x) and (), we observe the following transformation:

When

=−2, ()=8. This corresponds to the point (-2, 8) in the table. When x-=-4, g(x)=8. This corresponds to the point (-4, 8) in the table.

Given that  g(x)=f(kx), to go from f(x) to g(x), we multiply the input x by k. So,−2=−4×k.

Solving for k, we have:  K= -2/-4= 1/2

So, k= 1/2

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