Let f(x)=5^x
Let g(x)=5^x−7
Which statement describes the graph of g(x)g(x) with respect to the graph of f(x)f(x) ?
g(x)g(x) is translated 7 units down from f(x)f(x) .
g(x)g(x) is translated 7 units right from f(x)f(x) .
g(x)g(x) is translated 7 units left from f(x)f(x) .
g(x)g(x) is translated 7 units up from f(x)f(x) .
To determine how the graph of g(x) compares to the graph of f(x), we need to consider the effects of the equation g(x) = 5^x - 7.
The term "-7" in the equation g(x) = 5^x - 7 implies a vertical shift downwards. Thus, the graph of g(x) will be translated 7 units down from the graph of f(x).
Therefore, the correct statement is: "g(x) is translated 7 units down from f(x)."
well, g = f-7
so what do you think?