The graph of the two linear equations in upper left corner of the picture is the right choice. The expression for g(x) is the result of translating f(x) four units in the + x direction.
What is the graph associated to two linear functions?
Herein we have a function f(x) representing a linear equation and a function g(x) as a horizontal translation of f(x) and, thus, g(x) is a linear equation. In accordance to the four choices, the two lines must be parallel to each other, which means that both linear equation must have the same slope.
If we know that f(x) = - (1 / 3) · x + 5, then the expression for g(x) is:
g(x) = f(x - 4)
g(x) = - (1 / 3) · (x - 4) + 5
g(x) = - (1 / 3) · x - 4 / 3 + 5
g(x) = - (1 / 3) · x + 11 / 3
Please notice that the linear equation f(x) has an intercept of 5 and the linear equation g(x) an intercept of 11 / 3. Therefore, the graph of the two linear equations in upper left corner of the picture is the right choice. The expression for g(x) is the result of translating f(x) four units in the + x direction.
To learn more on linear equations: https://brainly.com/question/27664510
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