The graph of \(f(x) = sqrt(16−x^2)\)
To determine :
The equation of transformed graph shown in the given figure.
The parent graph of \(f(x) = sqrt(16−x^2)\).
Since the graph is shifted vertically down by 1 unit.
Therefore, the equation becomes,
Also, the graph is a reflected graph in the x - axis . Hence we have
\(f(x) =sqrt(16−x^2)− 1\)
Now, the graph is has a vertical compression by 4 units.
Therefore, the transformed graph is \(f(x) =− 1/4sqrt(16-x^2)-1\)