Question

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

A. The graph of g(x) is the graph of ​f(x)​ translated 7 units left.
B. The graph of g(x) is the graph of ​f(x)​ translated 7 units up.
C. The graph of g(x) is the graph of ​f(x)​ translated 7 units right.
D. The graph of g(x) is the graph of ​f(x)​ translated 7 units down.

Answer 1

 The answer is c: the graph of g(x) is the graph of f(x) translated 7 units to the right

Answer 2

The statement which correctly describes the relationship between graphs related as g(x)=f(x−7) is; Choice C {The graph of g(x) is the graph of f(x) translated 7 units right}

According to the question; g(x)=f(x−7).

• In essence, for every value of x on the graph (g), the value of x on the graph (f) reduces by 7.

• Put differently; for every value of x on the graph (f), the value of x on the graph (g) increases by 7.

However, In graphs: an increase on the x axis is depicted by a movement rightward on the number line.

Therefore, if the relation g(x)=f(x−7) holds;

The graph of g(x) is the graph of f(x) translated 7 units right.

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