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

Asked by maham237 @ in Mathematics viewed by 309 People

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

Answered by maham237 @


Answer:

The correct option is C) y=\frac{2}{x-3}-6

Step-by-step 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=\frac{2}{x-3}-6


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