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

two lines labeled f of x and g of x. line f of x passes through points negative 4, 0 and 0, 4. line g of x passes through points negative 2, 0 and 0, 4.

-2
-1/2
1/2
2

k=2

Step-by-step explanation:

We are given that

Line of f(x) passes through the points (-4,0) and (0,4).

Line of g(x) pass through the points (-2,0) and (0,4).

We have to determine the value of k.

slope of f(x)=

Equation of f(x) which is passing through the point (-4,0) with slope 1

By using slope-point form:

Replace x by kx

Equation of g(x)

Substitute x=-2

Hence, the value of

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step-by-step explanation:

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~courtney