Question

The step by step process to answer one of these

Answer 1

Given:

The highest point on the graph of y =f(x) is (-3, 6)

The highest point of the graph of :

$y\text{ = }\frac{1}{2}f(x-1)\text{ + 5}$

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:

$\begin{gathered} =\text{ (-3 + 1, 6 + 5}) \\ =\text{ (-2, 11)} \end{gathered}$

Answer:

(-2, 11)