Consider the following function: y=1/(x+5) + 2 how does the graph of this function compare with the graph of the parent function, y=1/x ?

the second option. It is shifted left 5 units and up 2 units from the parent function.

Explanation:

1) Adding a constant to the argument of the function shifts the graph to the left as many units as the value of the constant.

This is: the graph of f(x + 5) is the graph of f(x) shifted 5 units to the left.

That is the case here, with f(x) = 1 / x and f(x + 5) = 1 / (x + 5).

2) Adding a constant to the function shifts the graph up as many units as the value of the constant.

That is, the graph of f(x) + 2 is equal to the graph of f(x) shifted 2 units up.

That is the case here: f(x) = 1/x ⇒ f(x) + 2 = (1/x) + 2

The final result is the translation 5 units left and 2 unit up.

You can see the attached graph for better visualization: the red line is the parent function 1/x and the blue line is 1/(x + 5) + 2.

There would be 36.35 pounds