Question 1166616
<br>
{{{y=f(x)}}} --> {{{y=2f(x-2)+2}}}<br>
The "2f" doubles the y value (stretches the graph vertically by a factor of 2);
The (x-2) moves the graph 2 units to the RIGHT;
The +2 moves the graph up 2 units.<br>
The order of the transformations is always the order in which you would evaluate the function for a given input value of x.  That order is<br>
(1) f(x-2), so move the graph 2 units to the right;
(2) 2f(x-2), so stretch the graph vertically by a factor of 2; and
(3) 2f(x-2)+2, so move the graph up 2 units.<br>
Short summary: The graph is moved 2 units to the right, then stretched vertically by a factor of 2, and then moved up 2 units.<br>