Question

Which graph represents the function f(x) = 1/x+3
-2

Answer 1

Graph B on Edge2022.

Have a great day.

Answer 2

Explanation:

To eliminate ambiguity please use parentheses when typing a function like this one. I'm going to assume that you meant

f(x) = 1 / (x + 3) - 2

Start with the graph of y = 1/x. Its vertical asymptote is the line x = 0. The graph never touches the x-axis.

Translating the entire graph 3 units to the left will give you the function

h(x) = 1 / (x + 3).

Translating the above graph 2 units down will give you the desired function g(x) = 1 / (x + 3) - 2.