Question

Asked May 1, 2019

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Disregard the last bottom part. Please help with drawing the graph of what it’s asking in the top. Thanks.

Step 1

Given graph is:

Step 2

In the transformation of the function *g* (*x*) = *Af* (*Bx* + *H*) + *K*

*A* scales the function vertically, *B* scales the function horizontally, *H* shifts the function horizontally and *K* shifts the function vertically.

In the given transformation *g* (*x*) = *f* (*x* + 1),

*A* = 1, *B* = 1, *H* = 1 and *K* = 0.

Since *A* and *B* represent scaling and the scaling factor here is 1, the graph is not scaled.

Since *K* is 0, the graph does not shift vertically.

But as *H* is 1, the graph shifts one unit to the left.

Step 3

The points on the given graph of *f* (*x*) are (0,0) and (-1,2)

So after transformation, the points are (-1,0) and (-2,2)

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