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

Answer:

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

Step-by-step explanation:

Given

$y = \frac{1}{x}$

$y' = \frac{1}{x+5} + 2$

Required

Compare both functions

First, translate y, 5 units left.

The rule is:

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

So, we have:

$y = \frac{1}{x}$

$y_1 = \frac{1}{x + 5}$

Next, translate y1, 2 units up.

The rule is:

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

So, we have:

$y' = y_1 + 2$

$y' = \frac{1}{x + 5} + 2$

Hence, the transformation is:

5 units left and 2 units up