A function f is given and the indicted transformation are applied to its graph write the equation for the final transformed graph

F(x)=3 under root x shift 7 units to the right

1 answer

To find the equation for the final transformed graph, we need to apply the given transformations to the equation of the original function.

The original function is f(x) = √x.

1. First, we substitute x - 7 for x to represent the shift 7 units to the right:
f(x - 7) = √(x - 7).

2. Next, we apply the transformation of scaling by multiplying the function by 3:
F(x) = 3√(x - 7).

Therefore, the equation for the final transformed graph is F(x) = 3√(x - 7).