Given:
The highest point on the graph of y =f(x) is (-3, 6)
The highest point of the graph of :
[tex]y\text{ = }\frac{1}{2}f(x-1)\text{ + 5}[/tex]
The new function is translated to the right by 1 unit and translated upwards by 5 units.
Applying this to the highest point of the original function y = f(x), we have:
[tex]\begin{gathered} =\text{ (-3 + 1, 6 + 5}) \\ =\text{ (-2, 11)} \end{gathered}[/tex]
Answer:
(-2, 11)
