A Function G Is Given $$g ( x ) = \frac { 4 } { x + 5 } - 3$$

question 115

Multiple Choice

A function g is given. Identify the parent function. Then use the steps for graphing multiple
transformations of functions to list, in order, the transformations applied to the parent function to obtain
the graph of g.
- $$g ( x ) = \frac { 4 } { x + 5 } - 3$$

• A) Parent function: \(f ( x ) = \frac { 1 } { x }\); Shift the graph of \(f\) to the left 5 units, stretch the graph vertically by a factor of 4 , and shift the graph downward by 3 units.
• B) Parent function: \(f ( x ) = \frac { 1 } { x }\); Shift the graph of \(f\) to the right 5 units, shrink the graph vertically by a factor of \(\frac { 1 } { 4 }\), and shift the graph upward by 3 units.
• C) Parent function: \(f ( x ) = \frac { 1 } { x }\); Shift the graph of \(f\) to the left 5 units, shrink the graph vertically by a factor of \(\frac { 1 } { 4 }\), and shift the graph downward by 3 units.
• D) Parent function: \(f ( x ) = \frac { 1 } { x }\); Shift the graph of \(f\) to the right 5 units, stretch the graph vertically by a factor of 4 , and shift the graph upward by 3 units.

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