Question

This graph of a function is a translation of y = 2/x . What is an equation for the function?

A. y = 2/(x - 6) – 3
B. y = 2/(x – 6) + 3
C. y = 2/(x – 3) - 6
D: y = 2/(x – 3) + 6

Answer 1

Answer: The answer is C, the rest of the answers are

1:B

2:C

3:A its a graph

4:C y=2/x-3 -6

5:D19, as of 2019

Explanation:

Answer 2

The correct option is C)
`y=(2)/(x-3)-6`

Explanation:

Consider the provided information.

Transformation:

The graph of parent function f(x) move up b unit for f(x)+b.

The graph of parent function f(x) move down b unit for f(x)-b.

The graph of parent function f(x) move left b unit for f(x+b).

The graph of parent function f(x) move right b unit for f(x-b).

Since, the graph of the parent function moves down, Therefore Option Option B and D are incorrect.

Here, we can observe that vertical asymptote shifted from x = 0 to x = 3.

Horizontal Shift: Right 3 Units

Vertical Shift: Down 6 Units

Therefore, the correct option is C)
`y=(2)/(x-3)-6`