Question

How does the graph of this function compare with the graph of the parent function, y=1/x? It is shifted right 5 units and up 2 units from the parent function. It is shifted left 5 units and up 2 units from the parent function. It is shifted right 5 units and down 2 units from the parent function. It is shifted left 2 units and down 5 units from the parent function. It is shifted right 2 units and up 5 units from the parent function. It is shifted left 2 units and up 5 units from the parent function.

Answer 1

b

Explanation:

Answer 2

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

Explanation:

Given

`y = (1)/(x)`

`y' = (1)/(x+5) + 2`

Required

Compare both functions

First, translate y, 5 units left.

The rule is:

`(x,y) \to (x + 5,y)`

So, we have:

`y = (1)/(x)`

`y_1 = (1)/(x + 5)`

Next, translate y1, 2 units up.

The rule is:

`(x,y) \to (x,y+2)`

So, we have:

`y' = y_1 + 2`

`y' = (1)/(x + 5) + 2`

Hence, the transformation is:

5 units left and 2 units up