Which statement correctly describes the relationship between the graph of f(x) and g(x)=f(x−7) ?

1 answer:

6 0

Assume that f(5)=8. So, (5, 8) is a point in the graph of f.

For g(x) to give us 8, we need x to be 12, because in that case we would have:

g(12)=f(12-7)=f(5), which is 8. Thus, (12, 8) is a point on the graph of g.

Comparing (5, 8) in f, and (12, 8) in g, we can see that the graph of g is the graph of f shifted 7 units to the right.

Answer: <span>C) The graph of g(x) is the graph of f(x) translated 7 units right.</span>

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