Algebra-2

To determine the equation of the function based on the transformations of , we analyze the properties provided:

 

1.Vertical Asymptote: The function approaches as x approaches -3 from the left and as x approaches -3 from the right. This indicates a vertical asymptote at x = -3. Therefore, we replace x with x + 3.

 

2.Horizontal Asymptote: The graph approaches -1 as x approaches . This means there is a vertical shift downward, so we subtract 1 from the function.

 

Combining these transformations, we start with :

Replace x with x + 3 for the horizontal shift:

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