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Answer:
(b) g(x) = f(x) +7
Explanation:
It is helpful to remember what a graph is.
It is a plot of the points (x, f(x)), or (x, g(x)).
It is also helpful to remember what the coordinates mean.
(x, y) is a point x units right of the y-axis and y-units above the x-axis.
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Point (0, 7) is 7 units higher on the graph than point (0, 0).
That is, if (x, f(x)) = (0, f(0)) = (0, 0) and (x, g(x)) = (0, g(0)) = (0, 7), then we have g(0) = f(0) +7. The lines are parallel, so this relation holds for all values of x.
g(x) = f(x) +7