SOLUTION: suppose the graph of f is given. describe how the graph of each function can be obtained from the graph of f. do not graph. y=2f (x-2) +2

Question 1166616: suppose the graph of f is given. describe how the graph of each function can be obtained from the graph of f. do not graph.
y=2f (x-2) +2
Answer by greenestamps(13200) (Show Source): You can put this solution on YOUR website!

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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.

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

(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.

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.

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