Question
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
F(x)=3 under root x shift 7 units to the right
Answers
GPT 3.5
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).
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).