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
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).
To shift the graph of function f(x)=√x 7 units to the right, we need to replace x with (x-7) in the function.
So, the equation for the final transformed graph is:
F(x) = √(x-7)
This equation represents the function f(x) = √x shifted 7 units to the right.
To find the equation for the final transformed graph, we need to apply the given transformations step by step.
1. Start with the function: f(x) = √x.
2. Apply the root transformation: F(x) = 3√x. This stretches the graph vertically by a factor of 3.
3. Apply the shift transformation: F(x - 7) = 3√(x - 7). This shifts the graph 7 units to the right.
Therefore, the equation for the final transformed graph is F(x - 7) = 3√(x - 7).