Starting with the graph of f(x)=9^x, write the equation of the graph that results from shifting f(x) 9 units to the right. y=
9^(x-3)
To shift the graph of f(x) = 9^x nine units to the right, we can use the transformation equation y = f(x - h), where h represents the horizontal shift.
In this case, since we want to shift the graph nine units to the right, h would be equal to 9.
Therefore, the equation of the shifted graph would be:
y = f(x - 9)
Substituting the original function f(x) = 9^x into the equation, we can rewrite it as:
y = 9^(x - 9)
To shift the graph of f(x) = 9^x nine units to the right, you need to make an adjustment to the equation. Let's call the shifted function g(x).
When you shift a function to the right by a units, you replace x with (x - a) in the equation of the original function. In this case, we want to shift the graph nine units to the right, so we replace x with (x - 9) in the equation of f(x).
Therefore, the equation of the shifted graph is:
g(x) = 9^{(x-9)}
In this equation, the graph of g(x) will be identical to the graph of f(x), but shifted nine units to the right.